“multinomial coefficient”的概念、定义、翻译、参考文献-科学参考

单词	multinomial coefficient
释义	multinomial coefficient Mathematics The number $(\begin{matrix} n \\ n_{1} & n_{2} & \dots n_{k} \end{matrix}) = \frac{n!}{n_{1}! n_{2}! \dots n_{k}!}$ when n₁ + n₂ + ⋯ + n_k = n. This is the coefficient of $x_{1}^{n_{1}} x_{2}^{n_{2}} \dots x_{k}^{n_{k}}$ in the expansion of (x₁ + x₂ + …x_k)ⁿ. It also gives the number of ways of choosing n_i of each of k types when choosing a total of n objects, without regard to the order in which they are chosen.
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