Derangements.pdf

analco08.pdf
Preview of Derangements
🔗 Source: cs.upc.edu
📊 Size: 204 KB
👤 Author: Conrado Martínez, Alois Panholzer, Helmut Prodinger
⬇️ Downloads: 41

Summary

A derangement is a permutation without fixed points, where no element is in its original position. The number of derangements of size n, Dn, is given by the formula Dn = n! * (1/0! - 1/1! + 1/2! - ... + ((-1)^n)/n!). As n approaches infinity, the ratio Dn/n! approaches 1/e, approximately 0.36788.

Description

A derangement is a permutation without fixed points, where no element is in its original position.

Technical Information

  • File Format: PDF
  • File Size: 204 KB
  • Pages: 52
  • Language: EN
  • Author: Conrado Martínez, Alois Panholzer, Helmut Prodinger
  • Total Downloads: 41
  • Last Updated: 1 week ago

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