Template:Binom

(nk)

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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 (nk). It is the coefficient of the x^k term in the polynomial expansion of the binomial power (1 + x)^k; this coefficient can be computed by the multiplicative formula

(nk) = n × (n - 1) × ... × (n - k + 1)/k × (k - 1) × ... × 1,

which using factorial notation can be compactly expressed as

(nk) = 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 (nk). It is the coefficient of the x^k term in the polynomial expansion of the binomial power (1 + x)^k; this coefficient can be computed by the multiplicative formula

(nk) = n × (n - 1) × ... × (n - k + 1)/k × (k - 1) × ... × 1,

which using factorial notation can be compactly expressed as

(nk) = n!/k!(n - k)!.

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