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Home MathPack Statis Functions BinomCoeff  
See also: LnBinomCoeff, LnBeta, LnGamma, Factorial, HyperGeoDistriDensity, BinomDistriDensity, BinomDistriIntegral, BinomDistriQuantile  
BinomCoeff 

The function BinomCoeff calculates the binomial coefficient (n,k), which is the number of possible combinations when drawing k items out of a total set of n. The binomial coefficient is defined by the following formula:
The parameters n, and k have to be positive, with n >= k. If this condition is not fulfilled, BinomCoeff returns a zero value. Please note that the binomial coefficient may become too large to be returned as longint value. In this case the function returns a value of 1. If you expect large binomial coefficients you maybe want to use the function LnBinomCoeff, which calculates the natural logarithm of it.
