Multinomial theorem

Home > Mathematics > Combinatorics > Binomial Theorem > Multinomial theorem

A formula that allows one to expand a multinomial expression raised to a power using the multinomial coefficients. It is written as (a1 + a2 + ... + ak)^n = ∑[n1 + n2 + ... + nk = n] (n choose n1, n2, ..., nk) a1^(n1) a2^(n2) ... ak^(nk).