![]() ![]() The Linac Coherent Light Source II (LCLS-II) project. Photon beam transport and scientific instruments at the European XFEL. First operation of a free-electron laser generating GW power radiation at 32 nm wavelength. A compact and cost-effective hard X-ray free-electron laser driven by a high-brightness and low-energy electron beam. Construction and commissioning of PAL-XFEL facility. ![]() A compact X-ray free-electron laser emitting in the sub-angstrom region. Collective instabilities and high-gain regime in a free-electron laser. Generation of coherent radiation by a relativistic electron beam in an undulator. Recent experimental and theoretical developments in time-resolved X-ray spectroscopies. XFELs: cutting edge X-ray light for chemical and material sciences. The measurement of ultrafast electronic and structural dynamics with X-rays. Introduction: ultrafast processes in chemistry. Beamline, experimental stations and photon beam diagnostics for the hard x-ray free electron laser of SACLA. Achieving few-femtosecond time-sorting at hard X-ray free-electron lasers. ![]() A single-shot transmissive spectrometer for hard x-ray free electron lasers. ![]() Linac coherent light source: the first five years. Strategies for sample delivery for femtosecond crystallography. Drop-on-demand sample delivery for studying biocatalysts in action at X-ray free-electron lasers. in X-Ray Free Electron Lasers: Applications in Materials, Chemistry and Biology Ch. Concentric-flow electrokinetic injector enables serial crystallography of ribosome and photosystem II. Liquid sample delivery techniques for serial femtosecond crystallography. This Mn L-edge soft X-ray spectroscopic study of PS II at physiological (in operando) conditions based on measurements at the LCLS XFEL establishes protocols for probe-before-destroy spectroscopy of dilute high-valent metal complexes and proteins at XFELs. Soft x-ray absorption spectroscopy of metalloproteins and high-valent metal-complexes at room temperature using free-electron lasers. Energy-dispersive X-ray emission spectroscopy using an X-ray free-electron laser in a shot-by-shot mode. Femtosecond X-ray protein nanocrystallography. Potential for biomolecular imaging with femtosecond X-ray pulses. Neutze, R., Wouts, R., van der Spoel, D., Weckert, E. 3D-MiXD: 3D-printed X-ray-compatible microfluidic devices for rapid, low-consumption serial synchrotron crystallography data collection in flow. The microfluidic laboratory at Synchrotron SOLEIL. Pump-probe XAS investigation of the triplet state of an Ir photosensitizer with chromenopyridinone ligands. Synchrotron ultrafast techniques for photoactive transition metal complexes. Development of high-repetition-rate laser pump/x-ray probe methodologies for synchrotron facilities. Radiation damage in macromolecular crystallography: what is it and why should we care? Acta Cryst. 10 years of pioneering X-ray science at the free-electron laser FLASH at DESY. Molecular structure of nucleic acids - a structure for deoxyribose nucleic acid. For the first time, it will be possible to make real-time molecular movies of metalloenzymes and catalysts in solution, while chemical reactions are taking place. With more XFEL facilities starting operation and more in the planning or construction phase, new capabilities are expected, including high repetition rate, better XFEL pulse control and advanced instrumentation. In this Technical Review, we describe the current state of the art of X-ray spectroscopy studies at XFELs and highlight some new techniques currently under development. The ultrashort, intense and tunable XFEL pulses enable X-ray spectroscopic studies of metalloenzymes, molecular catalysts and chemical reactions, under functional conditions and in real time. The development of X-ray free-electron lasers (XFELs) enables powerful new probes of electronic structure dynamics to advance our understanding of metalloenzymes. Mapping the electronic structural changes at the metal sites during the reactions gives a unique mechanistic insight that has been difficult to obtain to date. The metal centres in metalloenzymes and molecular catalysts are responsible for the rearrangement of atoms and electrons during complex chemical reactions, and they enable selective pathways of charge and spin transfer, bond breaking/making and the formation of new molecules. ![]()
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![]() Now, loading or dragging a Track or Remix Set onto a Deck will cause the Deck to automatically switch to the appropriate flavor to play the content.Īlso new in this version is a special analysis mode called “Parallel Processing”. TRAKTOR PRO now features full Automatic Deck Flavor Switching for all users previously, this was only working when loading items via the KONTROL S8 Browser. For users of multi-processor computers who were experiencing degraded audio performance since the release of TRAKTOR PRO 2.7.0, the new threading model should fix these issues automatically. If you have a 64-bit operating system, the Installer will have installed the 64-bit version of the application by default and you will need to take a few extra steps to run the 32-bit version detailed in the readme.Ī significant update has just been made to TRAKTOR PRO where multi-processor support is concerned: TRAKTOR PRO’s old audio threading model has been completely updated and optimised. By giving TRAKTOR PRO access to more RAM, it will increase performance of the software by allowing management of more items (larger Track Collections, more Remix Deck samples, better playback caching, etc.).Īre you still using a 32-bit version of Windows? With this release, the 32-bit version of TRAKTOR PRO can now also access an additional 1GB of RAM (if the computer has it available) providing additional performance and stability.ĪTTENTION 64-BIT WINDOWS USERS: If you are using an audio interface which only has 32-bit drivers, be sure you are also using the 32-bit version of TRAKTOR PRO in order to access the low-latency ASIO drivers for the audio interface, otherwise your audio interface won’t be selectable in the TRAKTOR PRO Preferences. ![]() By making TRAKTOR PRO a 64-bit application, it allows TRAKTOR PRO to access all the available RAM on computers with 64-bit operating systems previously, TRAKTOR PRO could only access a maximum of 2GB of RAM regardless of how much RAM was actually installed and available on the computer. ![]() The list below provides a comprehensive overview of all changes since the last public release (TRAKTOR PRO 2.7.3) including the improvements in the two Public Beta releases (TRAKTOR PRO 2.7.4 and 2.7.5): TRAKTOR PRO 2.8.0 contains some substantial changes to the core of the software, along with numerous other feature enhancements, improvement, and bug fixes. Traktor isn't bundled with the MP2015, but it is available for easy download from the Native Instruments website: The #futureofdjing has never been so bright! Traktor Pro 2.8.0 Release Notes The MP2015's control surface is MIDI mappable to Traktor giving you software control directly on the mixing console. Setup is easy with the MP2015's class compliant Core Audio drivers for Mac. Windows users simply need to install an the included ASIO driver. ![]() It is also the first Traktor Scratch certified mixer with dual USB ports allowing easy back-to-back DJing and quick changeovers. This incredible mixer is generating a lot of excitement on its own, but now with Traktor Scratch certification people are freaking out, as this is the first Rane mixer to have Traktor Scratch certification! Now, Traktor Scratch users can control of two or more virtual decks with Traktor control vinyl or control CDs. Windows XP, Windows XP 64-bit, Windows Vista, Windows Vista 64-bit, Windows 7, Windows 7 64-bit, Windows 8, Windows 8 64-bit, Windows 8.1, Windows 8.Rane is pleased to announce our collaboration with Native Instruments to bring you Traktor certification for the new Rane MP2015 rotary mixer. Native Instruments Traktor Kontrol D2 Drivers To download and install the Native Instruments Native Instruments Traktor Kontrol D2 driver manually, select the right option from the list below. It supports such operating systems as Windows 10, Windows 11, Windows 8 / 8.1, Windows 7 and Windows Vista (64/32 bit). ![]() The tool contains only the latest versions of drivers provided by official manufacturers. Being an easy-to-use utility, The Drivers Update Tool is a great alternative to manual installation, which has been recognized by many computer experts and computer magazines. The utility will automatically determine the right driver for your system as well as download and install the Native Instruments Native Instruments Traktor Kontrol D2 driver. Please review Outbyte EULA and app.privacyĬlick “Download Now” to get the Drivers Update Tool that comes with the Native Instruments Native Instruments Traktor Kontrol D2 driver. See more information about Outbyte and unistall app.instrustions. ![]() ![]() This is why we’re here to do an honest and extensive review of one of We-Vibe’s most popular solo sex toys, the We-Vibe Rave.įrom its specifications, design, app capabilities, pros and cons, and more, come with us on an adventure to discover the ins and outs of the We-Vibe Rave. But, of course, everyone experiences pleasure differently. They began their journey in 2003, and have since been featured and endorsed by sexual health experts, medical professionals, and relationship therapists. In fact, they’ve sold over six million toys to date, reaching countries all over the world. We-Vibe is a sexual wellness brand that spoils its consumers with rechargeable vibrators. The result? Ergonomically-designed, high-performing, eco-friendly, and body-safe pleasure products made for solo and couples play. They also strive to use state-of-the-art designs to outdo themselves and their competitors. They’re a brand that works closely with sexperts, doctors, and consumers in order to design sexual wellness products that are in sync with the human body. ![]() Aside from the size, you may also have preferences on its design, shape, and discreteness, she adds.Out of thousands of sex toy brands and manufacturers, We-Vibe continuously manages to be at the forefront of sex tech advancement. ![]() "Size is an absolute preference for the user, and usually you'll find what works for you based on efficiency and pleasure," says Dr. Size: Vibrators come in a variety of shapes and sizes and you'll need to find one that best suits your needs. "For instance, bullet vibrators that don't have many settings are usually around $10, or you can also choose to invest in a high-tech vibrator that can peak at as high as $1,000," says Dr. Nazem.Ĭost: The price of a vibrator will depend on the type, brand, and materials it's made with, but you'll be happy to know you can find ones at every price point. These will usually be labeled 'non-toxic.' You should also try to stick to vibrators that are non-porous as are harder to clean and can harbor bacteria, adds Dr. "Always look for ones that say 'phthalate-free' or 'paraben-free.'" "If the brand is not completely transparent about what goes into their toys, shop elsewhere," says Taraneh Nazem, MD, reproductive endocrinologist, infertility specialist, and ob-gyn at RMA of New York. There's nothing worse than your vibrator's battery giving out just before you reach that O.īody-Safe Materials: When it comes to using a vibrator, you'll want to make sure the one you're using is made from body-safe materials and free of anything you're personally allergic to-like latex for example. ![]() "For rechargeable devices, their time range is usually around 60-90 minutes."īuy one that can hold enough charge for your needs. "Vibrators are usually measured in hourly life versus day or week, with traditional battery-operated vibrators lasting about two hours," says ob-gyn and chief medical officer at VSPOT, Monica Grover. Here are a few things you should keep in mind before making your purchase:īattery Life: The battery life of your vibrator will depend on how the device operates. And hey, there are many that do both at the same time-there's no need to settle when it comes to taking your pleasure into your own hands (literally). If penetration's more your thing, you'll want a bigger vibrator with internal stimulation features. "Consider what type of experience you want this tool to help you unlock," she says.įor example, if clitoral stimulation is your focus, get a vibe that mimics the feeling of oral sex. What to consider before buying a vibrator:īefore shopping, it's important to start getting in touch with your body to understand where you like to be stimulated-and how, says certified sexologist Alexandra Fine. ![]() ![]()
![]() Your non-conflicting nature and instant striving for consensus make you a person welcomed everywhere. People often feel better or calm down after a small talk with you. As you are sensitive (though you don't display it), you experienced enough feelings and now understand the emotional needs of people around you. You always feel the mood of people around and easily adjust yourself. You have an oratorical or rather diplomatic talent. Only self-confidence and steps focused on the success can make your soul and body prosperous. Your gained achievements are easily forgotten when you see at least one disadvantage. But if it makes you depressed and prevents your further development, you need to believe in yourself and make an emphasis on your better sides. After this date you will be able to understand your real aim in life and reevaluate your principles.ĭespite your bright personality and intellect, you are very demanding to yourself. Usually, your peak of life energy and prosperity comes after your 30s birthday. You are extraordinary and talented and it has consequences. Your Life Path is interesting, but it is not easy. Try to become more confident and sociable, it will be a start of the brand new period in your life if you feel like stagnation. However, you are very self-critical and always understate you possibilities and talents. This effect also considers people, you may become a professional psychologist, and "fix" the souls. You have a creative potential: you initiate projects, undertakings, work on development and re-development of the things in your professional sphere. Though your intellectual level is quite high, you don't let yourself to be arrogant. ![]() You understand everything from the first second, and witty conversations for you are natural. Depending on your personality and your individual inclination positive or negative features of this number may prevail. It is believed that most of prominent politics and leaders are born under the 11 number.Īll the features common for number 2 are doubled and may suit number 11. You stand for unity, cooperation, caring, nurturing and parental protection, you take complete responsibility for your life, balancing yours and others needs. You only need to develop these skills in yourself. While a Master Number Life Path number are very powerful in some areas of life, it is not a significant force in Numerology compatibility. However, when it comes to Numerology compatibility, only single digits are used. Energy is inside you, and you are able to manipulate and direct people. A Life Path number can only be one of the single-digit numbers 1-9, or Master Numbers 11, 22, and 33. You can't stand still for a long time and like to participate in new projects and mass entertaining events. You don't try to be accepted by society, the highest matter for you is to stay true to yourself, it makes you different in the positive sense of this word. People love to be in your company as there is always something interesting in your manner of speaking or thinking. Number 11 as every master number implicates gifts and talents. ![]() In the childhood this type of personality may seem an introvert, but such children just have slightly another way of thinking. Master number 11 has a great potential to be a source of energy and motivation to people. ![]() ![]() ![]() For additional help with your account and reserving tickets, watch our How-To Video. If the system does not recognize you and you cannot access your alumni discount, please contact for assistance. elemental awakening script mamabear legal forms promo code. You will not need a promo code to do so as the system will automatically recognize you are an alumnus. Choco Donuts Choco Crack Chocolate Cookie Crisp Cinnamon Crunch Cinnamon Mini-Buns Circus. Once you are logged in to your account, you can add tickets to your cart and will automatically receive the 50% off alumni discount. Scroll down and select “Forgot your password? Reset here.” You will receive a password reset email that will allow you to set your own password to log in. Please activate your account to access tickets for performances in the Diamond Building at /account. The Juilliard Box Office has implemented a new ticketing system you will need to activate your account before reserving tickets (your previous login and password are no longer valid). To get access to log in and reserve tickets on Juilliard’s website, please follow the instructions below. ![]() Tickets become available to the Juilliard community on the first day of sale to the general public. Tickets to Juilliard performances are available to Juilliard college alumni for 50% off, depending on availability. High School Music Theory and Ear Trainingįrequently Asked Questions About Juilliard Pre-College About the Artist Diploma in Opera StudiesĬenter for Innovation in the Arts Courses ![]() ![]() ![]()
![]() ![]() What we like about this photo storage is the space for 1,000 photos. Unfortunately, it doesn’t support RAW files. But it can be used as a site to back up photos. But the latter is more of a portfolio builder.įlickr is a photography social media page with a large community of photographers. Free up to 1,000 photos (with paid upgrades)įlickr was bought by SmugMug a little while ago.pCloud provides a simplistic way to sort and share all the files in their cloud drive. I’m a big fan of their interface and design. And you can also use this service to share big files with people who don’t use the pCloud application. You can access your files on any device that connects to the internet. The company is based in Switzerland and therefore follows the strict personal data laws that are in place there. PCloud is a great new file storage that protects users’ data. They are likely the most ethical and trustworthy photo storage app available. Internxt Photos comes with privacy and peace of mind. They offer a free 10 GB plan that includes all features.Īnd they also have affordable 20 GB, 200 GB, and 2 TB paid plans. Internxt has a clean and simple interface that allows users to upload photos easily. The service is for anyone who worries about unauthorized access to personal information and data breaches. They ensure no first- or third-party access to photos ever. ![]() It’s perfect for those who work with confidential or sensitive images. It is an easy-to-use and ethical alternative to similar services Big Tech offers.Īll photos uploaded to this cloud photo service are end-to-end encrypted before they leave your device. It’s open-source and built on blockchain. Internxt is a cloud storage service designed to protect users’ privacy. Share photos directly to social media and messengers.Professional storage levels are at decent yearly rates for 50 GB, 200 GB, or 1 TB! You can even tag your images with names and locations, making them easy to search. Getting messages to know when your iPhone storage is full is also beneficial. This makes it the best way to store photos when using multiple camera phones to photograph. The cloud can pull images from your desktop, phone, etc. The biggest benefit of this app and service is how easy it is to keep all your devices connected. Some of us forget it’s one of the best free cloud storage options. It tells us when we no longer have space to back up our iPhone photos. Most of the time, this app works in the background. Whether we want it or not, the iCloud app is already on our iPhones and iPads It’s an excellent option for those photographers who want to back up Android and iPhone photos easily and quickly.Īnother app for storing photos is the one that’s standard on iOS platforms. But it’s great for your family and travel snapshots. Google Photos might not be the best photo storage for a professional photographer. It’s a substantial downgrade from “unlimited.” But you can upgrade to 100 GB for a small monthly fee in the US. If they are bigger, they will be downsized. You can only upload images up to a maximum resolution and size of 16 MP. Google Photos is one of the best online storage facilities. You can even attach it to your computer for the same process. This is a tremendous advantage for photo storage, especially if you shoot a lot. That means you don’t have to worry if your pictures are saved. What makes the Google Photos storage app so great? You can upload your images automatically. For the best online storage, look no further. It’s a great way to back up your iPhone photos, especially when you realize your iPhone storage is full. Simply add your pictures and pull them onto your desktop. For other purposes, it acts as a great intermediate. This means easy accessibility across all devices.įrom there, you drag and drop to store your images. It’s best for photographers who store their images in folders, as Dropbox works similarly.Īlthough it is a phone app, you can download the program for your tablet, desktop computer, or laptop. It is a relatively simple platform that’s perfect for avoiding confusion. They offer free cloud storage, the best way to back up photos. Since its inception, the Dropbox app has been the go-to choice for many people. There’s something for every photographer, whether you want to share your images with others or have a trusty online backup! 1. We take a look at the ten best storage apps out there. Buy from Unavailable 11 Best Free Photo Storage Apps ![]() ![]() ![]() See the complete “Stranger Things 4” soundtrack below. Pre-order CDs, cassettes and 2 LP 12-inch vinyl editions here. The vinyl pressing, which includes a poster insert, will be released on Nov. The “Stranger Things 4” soundtrack, produced by show creators the Duffer Brothers and music supervisor Nora Felder, will be available on CD and cassette Sept. Other additions to the soundtrack from the season’s last two episodes include Rick Derringer’s “Rock and Roll, Hoochie Koo,” James Taylor’s “Fire and Rain,” Siouxsie and the Banshees’ “Spellbound,” Metallica’s “Master of Puppets” and Moby’s “When It’s Cold I’d Like to Die.” Stranger Things Season 3 Songs by Episode E1 Chapter One: Suzie, Do You Copy E2 Chapter Two: The Mall Rats E3 Chapter Three: The Case of the Missing. Being a huge fan of the show, having my music on the soundtrack made me very happy! I truly love both these remixed versions as much as I do the original recording from the Journey ‘Frontiers’ record.” 20018 1 Shaggy, Boombastic 2 TLC, Waterfalls 3 Xscape. One week later, I had an idea for an extended version, so I called Bryce and we assembled our extended remix. Episode 3 Chapter Three: The Case of the Missing Lifeguard. Artists & Music REKINDLING INTEREST IN CANDLEBOX (Continued from page W GEE. ![]() “I found out that Bryce Miller and Troy MacCubbin had created it and told them how much I loved it. “I was stunned at how cool it was,” Perry said of the original remix in a statement. 2 (A Netflix Original Series Soundtrack) (Original Soundtrack) Hopper Sneaks In. Released by Legacy Recordings in 2017 containing music from Stranger Things (2016). E3 Chapter Three: The Monster and the Superhero. The album contains six additional songs, including an extended version of Bryce Miller and Alloy Tracks’ remix of Journey’s “Separate Ways (Worlds Apart),” featuring the band’s singer Steve Perry. Stranger Things soundtrack from 2016, composed by Various Artists. With the final two episodes of Season 4 dropping on Netflix today, Legacy Recordings has released the complete soundtrack to “ Stranger Things 4” in digital and physical forms. Until the creepy-crawlies from the Upside Down return in season four, this collection of beloved tunes is a nostalgic comfort and great singalong fun.As evidenced by the meteoric resurgence of Kate Bush’s “Running Up That Hill” after its appearance on “ Stranger Things 4,” the show’s soundtrack has become just as much a phenomenon as its thrilling plot. ![]() The compilation closes with a humorous-yet-touching duet by "Dusty-bun" Gaten Matarazzo and "Suzie-poo" Gabriella Pizzolo, who take on the magical Limahl theme "Never Ending Story," a fitting end that washes away the dread and anxiety brought upon by the Mind Flayer. Check out all the songs from 'Stranger Things' Season 3 below: Episode 1, Chapter One: Suzie, Do You Copy: Red Army Choir, The Red Army Is the Strongest Corey Hart, Never Surrender Kyle. Other highlights include a very Stranger Things remix of the Who's "Baba O'Riley," which adds atmospheric synth textures to give the '70s classic a neon, sci-fi spin the recurring space-bop "Neutron Dance" by the Pointer Sisters and Howard Jones' "Things Can Only Get Better," which sums up the overarching sentiment of the show with the line, "And do you feel scared, I do/But I won't stop and falter," a rallying cry for the young heroes of Stranger Things. Stranger Things Theme - Soundtrack (Extended) Vinyl Record. Corey Hart's "Never Surrender" serves as the backdrop to a tender moment between two main characters (as Foreigner's "Cold as Ice" compliments a less-affectionate climax), while a cleverly placed "Movin' in Stereo" by the Cars not only references an '80s teen classic, but also that movie's star, Phoebe Cates, who is alluded to throughout season three as a running inside joke. Explore the tracklist, credits, statistics, and more for Stranger Things - Volume One (A Netflix Original Series) by Kyle Dixon & Michael Stein. 4:56 Corey Hart - Sunglasses At Night (1983) 5:19 Duran Duran - Girls On Film. ![]() 1:12 The Bangles - Hazy Shade of Winter (Video Version) 2:47 Nocturnal Me. The track list features genre-spanning hits by Madonna, REO Speedwagon, Teena Marie, Weird Al, Wham!, and many more, used to strategic effect throughout the eight episodes of the season. Stranger Things Soundtrack S02E08 Should I Stay or Should I Go by The Clash. The List Price is the suggested retail price of a new product as provided by a manufacturer, supplier, or seller. Released the day after the July 4th premiere of season three of the sci-fi/coming-of-age show, Stranger Things: Music from the Netflix Original Series, Season 3 is a nostalgia-packed companion soundtrack that culls from an era of music that might have been heard in this fictional '80s setting. Stranger Things: Soundtrack from the Netflix Original Series, Season 3. ![]() ![]() ![]() Wanted to write in terms of factorial, we could write this as six factorial, six factorial The permutation formula, one way to write this, if we We've seen in one of theĮarly videos on permutations that, when we talk about This six times five times four times three is the number of permutations. Is this, 120 possibilities there would be three possibilities of who we put in chair four. For each of these 30 possibilities of seating these first two people, there'd be four possibilities of who we put in chair number three. Of who we'd put here, because one person's already sitting down. For each of those six possibilities there would be five possibilities We seat them in order, we might as well, weĬan say well there'd be six possibilities here. People into four chairs? Well the first chair, if Permutations are there of putting these six We can go through this fairly quickly, one, two, three, four chairs. Person A, B, C, D, E, and F, so we have six people. Start using other examples, other than just people sitting in chairs, but let's just stick with it for now. But each incrementalĮxample I'm gonna review what we've done before, but hopefully go a little bit further. So I think it never hurts to do as many examples. I've been struggling for over a week with this.Įxposed to permutations and combinations it takes a little bit to get your brain around it, ![]() Leaving us with the FIRST PERMUTATION that was counted or ONE COMBINATION of those 4 letters. Essentially, what the k! is doing by dividing the TOTAL PERMUTATIONS, is it is canceling all the additional permutations that were counted MORE THAN ONCE in the permutations formula. But were not counting permutations only COMBINATIONS, thus all we want to count is the FIRST PERMUTATION of the four letters. That means ABCD is 1 COMBINATION but it has 4! PERMUTATIONS (ABCD, ADCB, DCBA.etc). ![]() In light of this, it becomes clear that the permutation formula is counting one combination k! times, k = the number of chairs or spots (4 in the video). ![]() This reminded me of the principle of Inclusion/Exclusion which is basically about subtracting over counted elements. It's deceiving because the k! is actually DIVIDING the entire permutation equation. The part that confused me about the combinations formula is what the multiplication of k! in the denominator is doing to the formula. the number of permutations is equal to n!/(n-k)! so the number of combinations is equal to (n!/(n-k)!)/k! which is the same thing as n!/(k!*(n-k)!). So the formula for calculating the number of combinations is the number of permutations/k!. The group size can be calculated by permuting over the number of chairs which is equal to the factorial of the number of chairs(k!). So the number of combinations is equal to the number of permutations divided by the size of the groups(which in this case is 6). If we didn't care about these specific orders and only cared that they were on the chairs then we could group these people as one combination. So some of the permutations would be ABC, ACB, BAC, BCA, CAB and CBA. In our example, let the 5 people be A, B, C, D, and E. The number of combinations is the number of ways to arrange the people on the chairs when the order does not matter. So the formula for the number of permutations is n!/((n-k)!. For n people sitting on k chairs, the number of possibilities is equal to n*(n-1)*(n-2)*.1 divided by the number of extra ways if we had enough people per chair. We can make a general formula based on this logic. So the total number of permutations of people that can sit on the chair is 5*(5-1)*(5-2)=5*4*3=60. On the third chair (5-2) people can sit on the chair. On the second chair (5-1) people can sit on the chair. If there are 3 chairs and 5 people, how many permutations are there? Well, for the first chair, 5 people can sit on it. \): Six Combinations.Ok, let's start by an example. ![]() |
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