# binomial coefficient

(redirected from*Newton's binomial series*)

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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 (^{n}_{k});*;*_{n}C_{k}*C*(*n,k*);*C*.^{n}_{k}Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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