BINOMIAL (Binomial coefficient.)

Binomial coefficient of arrays

Description

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.

• MATLAB release: MATLAB 7 (R14)

[Pink Panzer]

Where's the difference to nchoosek?

[Mukhtar Ullah]

nchoosek can only deal with scalars!

[Terry Iverson]

Great! Thanks.

[James Brown]

Very fast implementation. Roughly double as fast than using factorial from Matlab for the implementation!

[luc mercier]

Remedies a clear lack in matlab built-in functions. Very handy!

[O Demands]

I was laughing out loud when I got the error mesage: ??? Undefined function or variable 'isfloat'. Only the most incompetent programmer would put in requirements of that type in a trivial function file like this.

[Memming Park]

what's the difference from MATLAB's built-in nchoosek? (type "open nchoosek" and you can see the source code)

[Mukhtar Ullah]

nchoosek is for scalars only.