The procedure multinomial(n, k1, k2, ..., km) computes the multinomial coefficient denoted $\left(\begin{array}{c}n\\ \mathrm{k1}\&comma;\mathrm{k2}\&comma;\dots \&comma;\mathrm{km}\end{array}\right)$ equal to $\frac{n}{\mathrm{k1}\&excl;\mathrm{k2}\&excl;\cdots \mathrm{km}\&excl;}$ where it is assumed that $n\&equals;\mathrm{k1}\&plus;\mathrm{k2}\&plus;\cdots \&plus;\mathrm{km}$ . If $n\ne 0$, then it is also assumed 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.

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

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

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

$28$

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

$28$

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

$560$