The procedure multinomial(n, k1, k2, ..., km) computes the multinomial coefficient denoted $\left(n\&verbar;\mathrm{k1},\mathrm{k2},\mathrm{...},\mathrm{km}\right)$ equal to $n\&excl;\&sol;\left(\mathrm{k1}\&excl;\mathrm{k2}\&excl;\mathrm{...}\mathrm{km}\&excl;\right)$ where it is assumed that $n=\mathrm{k1}+\mathrm{k2}+...+\mathrm{km}$ and that $0<m$; that is, there are at least 2 arguments.

The command with(combinat,multinomial) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{combinat}\&comma;\mathrm{multinomial}\right)$

$\left[\mathrm{multinomial}\right]$

$\mathrm{multinomial}\left(8\&comma;2\&comma;6\right)$

$28$

$\mathrm{binomial}\left(8\&comma;2\right)$

$28$

$\mathrm{multinomial}\left(8\&comma;2\&comma;3\&comma;3\right)$

$560$