multcoef

Multinomial coefficient.

This m-file returns the multinomial coefficient with parameter N at the values in X. Let {X1, X2, . . . , Xk}, k > 1, be a set of random variables, each of which can take the values 0, 1, . . . , n; such that for every set of k nonnegative integers {n1, . . . , nk} whose sum is n, the multinomial coefficient is,

C(n;n1,n2,...,nk) = (n1, n2,...,nk)! =

(n1 + n2 + ... nk)!
--------------------------- .
n1! × n2! × . . × nk!

It is possible to work with large factorials.

It needs to input n-number of trials and x-vector of the interested values.

File outputs the multinomial coefficient.