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From 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(). It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)k; this coefficient can be computed by the multiplicative formula
() = n × (n - 1) × ... × (n - k + 1)/k × (k - 1) × ... × 1,
which using factorial notation can be compactly expressed as
() = n!/k!(n - k)!.
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(). It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)k; this coefficient can be computed by the multiplicative formula
() = n × (n - 1) × ... × (n - k + 1)/k × (k - 1) × ... × 1,
which using factorial notation can be compactly expressed as
() = n!/k!(n - k)!.