BINOMIAL (Binomial coefficient.)

Binomial coefficient of arrays

BINOMIAL Binomial coefficient.

If the arguments are both non-negative integers with 0 <= K <= N, then
BINOMIAL(N, K) = N!/K!/(N-K)!, which is the number of distinct sets of
K objects that can be chosen from N distinct objects.
When N or K(or both) are N-D matrices, BINOMIAL(N, K) is the coefficient
for each pair of elements.

If N and K are integers that do not satisfy 0 <= K <= N, or N and K are
non-integers , then the general definition is used, that is

BINOMIAL(N, K) = GAMMA(N+1) / (GAMMA(K+1) / GAMMA(N-K+1))

If N is a non-negative integer, BINOMIAL(N) = BINOMIAL(N, 0:N)

BINOMIAL only supports floating point input arguments.