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what is the MATLAB function to evaluate ncr value when n is real

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what is the MATLAB function to evaluate ncr value when n is real
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Walter Roberson
Walter Roberson on 25 Aug 2018
What numeric values do you expect for the cases nCr(0.5,2) and nCr(-3,2) ? Number of combinations is only defined for positive integers.

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Accepted Answer

Kaushik Lakshminarasimhan
Kaushik Lakshminarasimhan on 25 Aug 2018
If n and r are both non-negative integers, and n >= r, use:
nCr = nchoosek(n,r)
If n and/or r can be negative, you can use the more general form:
nCr = gamma(n+1)/(gamma(r+1)*gamma((n-r)+1))
If either n or r is an integer <= -1, then the nCr is not defined.

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