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Permutation Variants Calculator

Compute even, odd, and circular permutations from the size of a set.

Definitions

  • Even permutation — reachable from the identity using an even number of transpositions (swaps). Half of all permutations are even.
  • Odd permutation — reachable using an odd number of transpositions. The other half (when n ≥ 2).
  • Circular permutation — distinct arrangements around a circle, where rotations are considered the same. Equals (n − 1)!.