Mathématiques · Glossaire

What is Permutation?

Définition rapide

An arrangement of items in a specific order. Number of ways to arrange n items = n! (n factorial).

Explication complète

A permutation is an ordered arrangement of items. The number of permutations of n distinct items is n! (n factorial = n×(n-1)×(n-1)...×1). For example, 3! = 6 ways to arrange 3 items. Permutations of n items taken k at a time is n! / (n-k)!. Permutations are used in probability, cryptography, scheduling, and rank calculations. They differ from combinations: in a permutation, ORDER matters (AB ≠ BA); in a combination, order does not. "How many ways to arrange 5 people in a line" = 5! = 120. "How many 3-person committees from 10 people" = 10C3 = 120 — a combination.

Calculatrices liées

Calculators that use or explain Permutation.

Termes liés

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Last reviewed: June 15, 2026 • Category: Mathématiques