Template:Binom
()
From Binomial coefficient.
Without {{math}}
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)!.
With {{math}}
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)!.