# Binomial coefficient

### From Wikimization

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Also see: [https://www.wolframalpha.com/input/?i=binomial+coefficient&assumption=%7B%22F%22%2C+%22BinomialCoefficientCalculator%22%2C+%22n%22%7D+-%3E%22-10%22&assumption=%7B%22F%22%2C+%22BinomialCoefficientCalculator%22%2C+%22k%22%7D+-%3E%225%22&assumption=%7B%22C%22%2C+%22binomial+coefficient%22%7D+-%3E+%7B%22Calculator%22%7D Wolfram <math>\alpha</math>] | Also see: [https://www.wolframalpha.com/input/?i=binomial+coefficient&assumption=%7B%22F%22%2C+%22BinomialCoefficientCalculator%22%2C+%22n%22%7D+-%3E%22-10%22&assumption=%7B%22F%22%2C+%22BinomialCoefficientCalculator%22%2C+%22k%22%7D+-%3E%225%22&assumption=%7B%22C%22%2C+%22binomial+coefficient%22%7D+-%3E+%7B%22Calculator%22%7D Wolfram <math>\alpha</math>] | ||

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+ | [[Image:Binomial.jpg|thumb|right|700px|full binomial coefficient definition including negative argument]] | ||

<pre> | <pre> |

## Current revision

## full definition, Matlab

binomial coefficient from M.J. Kronenburg [1]

Also see: Wolfram

function y = binomial(n, k) if ~k || k == n y = 1; elseif k == 1 y = n; elseif n < 0 if k > 0 y = (-1)^k*nchoosek(-n+k-1, k); elseif k <= n y = (-1)^(n-k)*nchoosek(-k-1, n-k); elseif n < k && k < 0 y = 0; end elseif n >= 0 if k < 0 || k > n y = 0; else y = nchoosek(n,k); end end return