---
tag: 0PCV9EDJM2
kind: concept
name: Multinomial coefficient
msc: [05A10]
sources:
  - url: https://en.wikipedia.org/wiki/Multinomial_theorem
    locator: Multinomial coefficients
---

## Summary

A multinomial coefficient counts the ways to distribute $n$ distinct objects into labelled boxes of given sizes. It extends the binomial coefficient from two boxes to any number of boxes. The node [[multinomial coefficient|00K0RF9BFY]] gives the precise definition.