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mathematical analysis > combinatorics > binomial coefficient
algebra > combinatorics > binomial coefficient

Preferred term

binomial coefficient  

Definition(s)

  • In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers nk ≥ 0 and is written It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)n; this coefficient can be computed by the multiplicative formula


    which using factorial notation can be compactly expressed as


    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Binomial_coefficient)

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