An Etymological Dictionary of Astronomy and Astrophysics
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The factor multiplying the variable in a term of a → binomial expansion. For example, in (x + y)⁴ = x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴ the binomial coefficients are 1, 4, 6, 4, and 1. In general, the r-th binomial coefficient in the expression (x + y)ⁿ is: (n,r) = n!/[r!(n - r)!].

→ binomial; → coefficient.