Let \(n\in \mathbb{N}\) and \(\alpha\in \mathbb{N}^d\) a multi-index with \(|\alpha|\le n\). Then the multinomial coefficient is given by
\begin{equation*} \binom{n}{\alphah} = \frac{n!}{\alpha!}. \end{equation*}Let \(n\in \mathbb{N}\) and \(\alpha\in \mathbb{N}^d\) a multi-index with \(|\alpha|\le n\). Then the multinomial coefficient is given by
\begin{equation*} \binom{n}{\alphah} = \frac{n!}{\alpha!}. \end{equation*}