# Newton's identity

## Newton's identity

[nüt·ənz ī′dendə‚dē] (mathematics)

The identity

*C*(*n*,*r*)*C*(*r*,*k*) =*C*(*n*,*k*)*C*(*n*-*k*,*r*-*k*), where, in general,*C*(*n*,*r*) is the number of distinct subsets of*r*elements in a set of*n*elements (the binomial coefficient).McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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