Number of permutations

Gives the number of ways to arrange n distinct objects in a row, where each arrangement is a permutation of the set. It is used in counting and combinatorics problems involving ordering.

P_n=n!

What the symbols mean

number of permutations of a set of n distinct objects
number of distinct objects (a non-negative integer)

About this formula

  • FieldMathematics
  • TopicCombinatorics
  • LevelHigh school
  • Also calledpermutations of n objects, factorial, n factorial, number of arrangements, permutation formula, count of orderings
  • SourceWikidata Q161519

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “number of permutations”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas