Binomial returns the binomial coefficient of (n,k), also commonly referred to as "n choose k".

Combinations generates all of the combinations of k elements from a set of size n.

GeneralizedBinomial returns the generalized binomial coefficient of (n, k), defined as Γ(n+1) / (Γ(k+1) Γ(n-k+1)) where Γ is the Gamma function.

LogGeneralizedBinomial returns the log of the generalized binomial coefficient.

NewCombinationGenerator returns a CombinationGenerator for generating the combinations of k elements from a set of size n.

CombinationGenerator generates combinations iteratively.