Derangement Calculator

!n = permutations with no fixed points

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About Derangement Calculator

A derangement calculator computing D(n) = n!·Σ(−1)ᵏ/k! — permutations where no element stays in its original position. Shows exact count, probability D(n)/n!, and the inclusion-exclusion formula. All calculations are client-side.

Derangement Calculator Features

  • D(n)
  • Probability
  • Recurrence
  • Table
  • Formula

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