MultinomialCoefficient.md (544B)
1 # Multinomial Coefficient 2 3 Ch 1.3 4 5 **Definition:** A multinomial coefficient is a form of binomial coefficient where the bottom of the binomial coefficient is multiple numbers. 6 7 Calculating the multinomial is quite simple. Assume we have 3,3,4 on the bottom and 10 on the top. We can find the multinomial coefficient by finding the following: 8 9 ( 10 ) = (10!)/(3!3!4!) = 4200 10 (3,3,4) 11 12 The above means that there are 4200 possible permutations that are of length 10 where we have 3 of one group, 3 of another group, and 4 of the final group.