Difference between revisions of "User:Temperal/The Problem Solver's Resource5"
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*Multinomial Theorem: <math>(x_1+x_2+x_3...+x_s)^n=\sum \frac{n!}{r_1!r_2!...r_s!} x_1+x_2+x_3...+x_s</math>. The summation is taken over all sums <math>\sum_{i=1}^{s}r_i</math> so that <math>\sum_{i=1}^{s}r_i=n</math>.  *Multinomial Theorem: <math>(x_1+x_2+x_3...+x_s)^n=\sum \frac{n!}{r_1!r_2!...r_s!} x_1+x_2+x_3...+x_s</math>. The summation is taken over all sums <math>\sum_{i=1}^{s}r_i</math> so that <math>\sum_{i=1}^{s}r_i=n</math>.  
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Revision as of 16:33, 9 October 2007
CombinatoricsThis section cover combinatorics, and some binomial/multinomial facts. PermutationsThe factorial of a number is or also as ,and is denoted by . Also, . The number of ways of arranging distinct objects in a straight line is . This is also known as a permutation, and can be notated CombinationsThe number of ways of choosing objects from a set of objects is , which is notated as either or . (The latter notation is also known as taking the binomial coefficient. Binomials and Multinomials
