- published: 24 Apr 2008
- views: 206831
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example,
The value of 0! is 1, according to the convention for an empty product.
The factorial operation is encountered in many areas of mathematics, notably in combinatorics, algebra, and mathematical analysis. Its most basic occurrence is the fact that there are n! ways to arrange n distinct objects into a sequence (i.e., permutations of the set of objects). This fact was known at least as early as the 12th century, to Indian scholars.Fabian Stedman in 1677 described factorials as applied to change ringing. After describing a recursive approach, Stedman gives a statement of a factorial (using the language of the original):
Now the nature of these methods is such, that the changes on one number comprehends [includes] the changes on all lesser numbers, ... insomuch that a compleat Peal of changes on one number seemeth to be formed by uniting of the compleat Peals on all lesser numbers into one entire body;
Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.
The founder of the organization, Salman Khan, was born in New Orleans, Louisiana, United States to immigrant parents from Bangladesh and India. After earning three degrees from the Massachusetts Institute of Technology (a BS in mathematics, a BS in electrical engineering and computer science, and an MEng in electrical engineering and computer science), he pursued an MBA from Harvard Business School.
In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at https://twitter.com/jamesgrime More links & stuff in full description below ↓↓↓ Regarding the equation at the end - James says it should be e^-t dt NOT e^-n dn ... sorry for the mix-up! NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/num...
In this video we discuss the basics of Factorials and its applications . For more videos ,visit : www.takshzilabeta.com/blogs
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutation-formula?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/bringing-the-set-operations-together?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use pro...
SUSCRÍBETE: http://bit.ly/VN7586 (NO OLVIDES DAR UN ¨LIKE¨) VISITA: http://math2me.com FB: http://bit.ly/FBmath2me G+: http://google.com/+math2me Twitter: http://bit.ly/14ql1b7 (Video explicado por José Andalón) Help us caption & translate this video! http://amara.org/v/En8N/
Type 0.5! in your calculator to see what the factorial of one-half is. The result will be 0.886..., and the exact answer is the square root of pi divided by 2--amazing! How is this possible, when the factorial of a number n is defined as n! = n(n-1)(n-2)...1 and this definition only makes sense for whole numbers? The calculator result is not an error, and in this video I explain how the factorial can be extended beyond the whole numbers for all real numbers by the gamma function. Once we extend the factorial function beyond whole numbers, you can see why the factorial of one-half is equal to the square root of pi divided by 2. Bohr-Mollerup theorem http://en.wikipedia.org/wiki/Bohr%E2%80%93Mollerup_theorem Applications https://www.math.washington.edu/~morrow/336_10/papers/joel.pdf Nume...
Geometry Dash demon level Factorial by AlbinoMaster. This level has some really cool effects and goes well with the music. It's a fantastic 2.1 level! Skullo ► https://www.youtube.com/channel/UCqayiZE0qTqNE5a2IXHhL6w AlbinoMaster ► https://www.youtube.com/channel/UCEpv6mvufPQ_Gfx0gVTCW7w --TWITCH STREAM-- http://www.twitch.tv/ericvanwilderman My Anime Channel ► https://www.youtube.com/channel/UCKwLT28GJJ5dkl5SHxNvL5Q/videos --CONTACT ME-- Subscribe to me! ► https://www.youtube.com/channel/UC_BXQNOzX7ALIf8FkDqOahQ?sub_confirmation=1 Facebook ► https://www.facebook.com/EricVanWilderman/ Twitter ► https://twitter.com/VanWilderman Outro Song "We Were Infinite" provided by NoCopyrightSounds https://www.youtube.com/watch?v=VEyTsJQGYqM By Inukshuk ► https://www.facebook.com/iaminukshuk/ ...
This video is a lecture on the basics of Factorials. A good understanding of factorials is very important if one has to deal with problems involving permutations and combinations. I intend to upload at least one more video on factorials so that more can be discussed about how to solve expressions involving factorials. If you liked this video, please subscribe to my channel and let others know too. About the channel - This is a channel dedicated to helping students around the world understand the intricacies of mathematics, become expert problem-solvers and subsequently fall in love with the subject. Maths (or Math in America) has for long been among the most hated and the most dreaded subjects. But today, things are probably worse than ever before. I have been teaching maths and scien...
Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Factorials are actually a pretty straightforward idea. Find out how to do factorials for fractions with help from a mathematics educator in this free video clip. Expert: Jimmy Chang Filmmaker: Christopher Rokosz Series Description: Fractions are something that give a lot of people a hard time, but they certainly don't need to so long as you keep a few very important things in mind. Learn about fractions and get answers to a lot of your questions with help from a mathematics educator in this free video series.
Suscríbete: http://bit.ly/1oCaVNv Ejemplos de número factorial: http://youtu.be/EFDp0H1HdFw Nivel 2: http://youtu.be/Oklvd9UcYPA Nivel 3: http://youtu.be/aGTJmlk6c3Q Todos los niveles y solución de tarea: http://matemovil.com/?p=292 Hoy vamos a revisar el número factorial, un tema muy bonito y sencillo, que nos servirá más adelante en el tema de variaciones y combinaciones. No importa si estás en secundaria, eso, pre universitaria, o en la universidad, aquí encontrarás diferentes niveles de dificultad. En el primer video, vamos a revisar la definición del factorial y algunos ejemplos muy sencillos, además de un par de propiedades. El nivel 1, revisaremos 3 problemas interesantes del tema, combinados con ecuaciones cuadráticas. En el nivel 2, haremos algunos problemas con cambio de var...
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at https://twitter.com/jamesgrime More links & stuff in full description below ↓↓↓ Regarding the equation at the end - James says it should be e^-t dt NOT e^-n dn ... sorry for the mix-up! NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/num...
In this video we discuss the basics of Factorials and its applications . For more videos ,visit : www.takshzilabeta.com/blogs
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutation-formula?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/bringing-the-set-operations-together?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use pro...
SUSCRÍBETE: http://bit.ly/VN7586 (NO OLVIDES DAR UN ¨LIKE¨) VISITA: http://math2me.com FB: http://bit.ly/FBmath2me G+: http://google.com/+math2me Twitter: http://bit.ly/14ql1b7 (Video explicado por José Andalón) Help us caption & translate this video! http://amara.org/v/En8N/
Type 0.5! in your calculator to see what the factorial of one-half is. The result will be 0.886..., and the exact answer is the square root of pi divided by 2--amazing! How is this possible, when the factorial of a number n is defined as n! = n(n-1)(n-2)...1 and this definition only makes sense for whole numbers? The calculator result is not an error, and in this video I explain how the factorial can be extended beyond the whole numbers for all real numbers by the gamma function. Once we extend the factorial function beyond whole numbers, you can see why the factorial of one-half is equal to the square root of pi divided by 2. Bohr-Mollerup theorem http://en.wikipedia.org/wiki/Bohr%E2%80%93Mollerup_theorem Applications https://www.math.washington.edu/~morrow/336_10/papers/joel.pdf Nume...
Geometry Dash demon level Factorial by AlbinoMaster. This level has some really cool effects and goes well with the music. It's a fantastic 2.1 level! Skullo ► https://www.youtube.com/channel/UCqayiZE0qTqNE5a2IXHhL6w AlbinoMaster ► https://www.youtube.com/channel/UCEpv6mvufPQ_Gfx0gVTCW7w --TWITCH STREAM-- http://www.twitch.tv/ericvanwilderman My Anime Channel ► https://www.youtube.com/channel/UCKwLT28GJJ5dkl5SHxNvL5Q/videos --CONTACT ME-- Subscribe to me! ► https://www.youtube.com/channel/UC_BXQNOzX7ALIf8FkDqOahQ?sub_confirmation=1 Facebook ► https://www.facebook.com/EricVanWilderman/ Twitter ► https://twitter.com/VanWilderman Outro Song "We Were Infinite" provided by NoCopyrightSounds https://www.youtube.com/watch?v=VEyTsJQGYqM By Inukshuk ► https://www.facebook.com/iaminukshuk/ ...
This video is a lecture on the basics of Factorials. A good understanding of factorials is very important if one has to deal with problems involving permutations and combinations. I intend to upload at least one more video on factorials so that more can be discussed about how to solve expressions involving factorials. If you liked this video, please subscribe to my channel and let others know too. About the channel - This is a channel dedicated to helping students around the world understand the intricacies of mathematics, become expert problem-solvers and subsequently fall in love with the subject. Maths (or Math in America) has for long been among the most hated and the most dreaded subjects. But today, things are probably worse than ever before. I have been teaching maths and scien...
Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Factorials are actually a pretty straightforward idea. Find out how to do factorials for fractions with help from a mathematics educator in this free video clip. Expert: Jimmy Chang Filmmaker: Christopher Rokosz Series Description: Fractions are something that give a lot of people a hard time, but they certainly don't need to so long as you keep a few very important things in mind. Learn about fractions and get answers to a lot of your questions with help from a mathematics educator in this free video series.
Suscríbete: http://bit.ly/1oCaVNv Ejemplos de número factorial: http://youtu.be/EFDp0H1HdFw Nivel 2: http://youtu.be/Oklvd9UcYPA Nivel 3: http://youtu.be/aGTJmlk6c3Q Todos los niveles y solución de tarea: http://matemovil.com/?p=292 Hoy vamos a revisar el número factorial, un tema muy bonito y sencillo, que nos servirá más adelante en el tema de variaciones y combinaciones. No importa si estás en secundaria, eso, pre universitaria, o en la universidad, aquí encontrarás diferentes niveles de dificultad. En el primer video, vamos a revisar la definición del factorial y algunos ejemplos muy sencillos, además de un par de propiedades. El nivel 1, revisaremos 3 problemas interesantes del tema, combinados con ecuaciones cuadráticas. En el nivel 2, haremos algunos problemas con cambio de var...
This video consists of FACTORIAL NUMBER SYSTEM which is a part of MATHEMATICS. A very helpful and must watch video for SSC CGL SSC CHSL GOVERNMENT JOB CAT ELITMUS AFCAT ASPIRANTS as it contains the QUESTIONS as well short cuts & Tricks along with appropriate examples and discussion on previous year papers questions. In this video tricks are given for how to solve questions of FACTORIAL NUMBER SYSTEM which are generally missing in books. This session is delivered by MR DINESH MIGLANI who has vast experience of teaching MATHEMATICS, REASONING & ENGLISH to Government Job Aspirants. Mr. Miglani has a unique trick of clarifying concepts as well as provide essential Shortcut and trick where it is required. This videos is also helpful for students who preparing for SSC CGL SSC CHSL GOVERNME...
For more Information & Topic wise videos visit: www.impetusgurukul.com I hope you enjoyed this video. If so, make sure to like, comment, Share and Subscribe!
An overview of factorial design and internactions.
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