---
tag: 05WR29H2KH
kind: concept
name: Number of derangements
msc: [05A05]
sources:
  - url: https://en.wikipedia.org/wiki/Derangement
    locator: Counting derangements
---

## Summary

The derangement numbers $D_n$ count the permutations of $n$ elements with no fixed point. They grow like $n!/e$. The node [[number of derangements|03WY4HHMT1]] gives the precise definition.