- published: 07 May 2008
- views: 669004
In combinatorics, the twelvefold way is a name given to a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number. The idea of the classification is credited to Gian-Carlo Rota, and the name was suggested by Joel Spencer.
Let and be finite sets. Let and be the cardinality of the sets. Thus is an -set, and is an -set.
The general problem we consider is the enumeration of equivalence classes of functions .
The functions are subject to one of the three following restrictions:
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.
Introduction to permutations More free lessons at: http://www.khanacademy.org/video?v=XqQTXW7XfYA
Word problems involving permutations and combinations. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.
Permutations and Combinations are very frequent questions that comes in every Competitive exams like SBI & BANK PO, CAT, XAT etc . In this Video i am discussing the easiest way to solve these types of question without using any Formula. Whatsapp Number : 9717794142 ( For Video Updates) Join Our Facebook Group : https://goo.gl/fGDu1d # 70 Blood Relation Tricks : https://goo.gl/yAOE2C Permutations and Combinations Tricks : https://goo.gl/gSALX0 Quadratic Equations Tricks : https://goo.gl/ZDyDkW Profit and Loss Tricks: https://goo.gl/NOO6p6 Number Series Tricks: https://goo.gl/qcvqej Banking Awareness (Static) : https://goo.gl/JelscL Inequalities Short tricks: https://goo.gl/qQo2kc Speed Maths video : https://goo.gl/7er1OQ Simple & Compound Interest tricks : https://goo.gl/EpK2vf Data Int...
Permutation & Combination invariably evokes groans from a lot of students and ironically the topic is just about counting , the number of ways certain event can happen .In this video we will discuss the fundamental rules of counting a). Rule of AND b). Rule of OR
An introduction to permutations and to combinations. Video shows how to calculate permutations and walks students through using the appropriate formula. Like MyBookSucks on Facebook http://www.Facebook.Com/PartyMoreStudyLess Playlist on Permutations and Combinations http://www.youtube.com/course?list=EC3D365ABD4AEA148E Playlist on Probability http://www.youtube.com/course?list=EC482E6C6B5F0A30E7
Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/combinations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/combination-formula?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutations-and-combinations-2?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 probability. Did you che...
Statistics 101: Permutations vs. Combinations. In this video we discuss the basic differences between permutations and combinations. Several examples are provided. This video is applicable to both statistics and finite mathematics. Enjoy! For my complete video library organized by playlist, please go to my video page here: http://www.youtube.com/user/BCFoltz/videos?flow=list&view;=1&live;_view=500&sort;=dd
Basics of counting for Permutations and Combinations. To know more, visit https://DontMemorise.com Don’t Memorise brings learning to life through its captivating FREE educational videos. New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us : http://bit.ly/DontMemoriseBlog
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