### Abstract

We derive a q-analogue of the classical formula for the number of derangements of an n element set. Our derivation is entirely analogous to the classical derivation, but relies on a descent set preserving bijection between the set of permutations with a given derangement part and the set of shuffles of two permutations.

Original language | English (US) |
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Pages (from-to) | 273-278 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 106 |

Issue number | 1 |

DOIs | |

State | Published - May 1989 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics