---
tag: 0GBZM0MT0F
kind: concept
name: Binomial coefficient
msc: [05A10]
sources:
  - url: https://en.wikipedia.org/wiki/Binomial_coefficient
    locator: Definition and interpretations
same_as:
  wikidata: Q209875
  wikipedia: Binomial coefficient
---

## Summary

The binomial coefficient $\binom{n}{k}$ is the number of ways to choose $k$ elements from an $n$-element set. These numbers are the coefficients in the expansion of $(x + y)^n$. The node [[binomial coefficient|092GEF38YD]] gives the precise definition.