Formula:8480

Digital Library of Mathematical Functions ID 26.4.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \multinomial{n_{1}+n_{2}+\cdots+n_{k}}{n_{1},n_{2},\ldots,n_{k}}=\frac{(n_{1}+n_{2}+\cdots+n_{k})!}{n_{1}!\,n_{2}!\,\cdots\,n_{k}!}=\prod_{j=1}^{k-1}\binom{n_{j}+n_{j+1}+\cdots+n_{k}}{n_{j}}.}

Symbols List

• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_{1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}}}$:
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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