Multinomial Formula. Where the numberarguments are one or more integers or arrays of integers for which you want to calculate the multinomial. Note that the binomial distribution is a special case of the multinomial when k 2.
Left x 1 x 2 cdots x k right n sum b 1 b 2 cdots b k n binom n b 1 b 2 b 3 ldots b k prod j 1 k x j b j. In particular the expansion is given by where n 1 n 2 n k n and n. The theorem that establishes the rule for forming the terms of the n th power of a sum of numbers in terms of products of powers of those numbers.
A b c a b c a b c a b c then apply the distributive law and then simplify by collecting like terms.
Question 1 out of 1. Is the factorial notation for 1 2 3 n. Note that the binomial distribution is a special case of the multinomial when k 2. N 2 2 number won by player b n 3 3 the number drawn p 1 0 40 probability player a wins p 2 0 35 probability player b wins p 3 0 25 probability of a draw the formula for k outcomes is.