Binomial coefficient
Number of subsets of a given size
Binomial coefficient
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 n ≥ k ≥ 0 and is written ( n k ) {\displaystyle {\tbinom {n}{k}}} or C ( n , k ) {\displaystyle C(n,k)} . 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 ( n k ) =...
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