binomial coefficient

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Related to Newton's binomial series: Binomial expansion

binomial coefficient

[bī′nō·mē·əl kō·ə′fish·ənt]
(mathematics)
A coefficient in the expansion of (x + y) n , where n is a positive integer; the (k + 1)st coefficient is equal to the number of ways of choosing k objects out of n without regard for order. Symbolized (nk); nCk ; C (n,k); Cnk.