any one of the coefficients of the variables in an expanded binomial series.
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Compare binomial theorem.
Origin of binomial coefficient
First recorded in 1885–90
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for binomial coefficient
maths any of the numerical factors which multiply the successive terms in a binomial expansion; any term of the form n !/(n–k)! k !: written (n k), n C k, or C n kSee also combination (def. 6)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012