BINOMIAL (Binomial coefficient.)

Binomial coefficient of arrays

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Updated 20 Oct 2010

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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.

Cite As

Mukhtar Ullah (2023). BINOMIAL (Binomial coefficient.) (https://www.mathworks.com/matlabcentral/fileexchange/5966-binomial-binomial-coefficient), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010b
Compatible with any release
Platform Compatibility
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Find more on Arithmetic Operations in Help Center and MATLAB Answers
Acknowledgements

Inspired: Monte Carlo Error Propagation

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Version Published Release Notes
1.1.0.0

Code cleanup.

1.0.0.0

a minor improvement