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n k combin n! k! (n k - (! (* / :

combin(n,k) Returns the number of subsets each of size 'k' that can be formed from 'n' objects, where 'n' is greater or equal to 'k'. Each subset is known as a combination. 'n' & 'k' are integers greater than or equal to zero.

The extended Γ(x)

x Γ Gilberto E. Urroz x Γ x Gamma : x 0 ≥ x Γ π x abs 1 + (* x abs 2 + Γ π x abs 1 + (* sin * / if 31 line :

x Γ 2 2 1 sys

x N n p hypergeom N 1 + Γ n 1 + Γ * N n + p - 1 + Γ * p 1 + Γ * x 1 + Γ x - n + 1 + Γ * N n + 1 + Γ * x N + p - 1 + Γ * x - p + 1 + Γ * / :

N 50 :

n 25 :

p 5 :

Continuous PDF Hypergeometric

0 x ≤ x N n p hypergeom outside lower bound if