Online Permutation calculator (P_n = n!)

What is permutation?

Permutation is a type of arrangement studied in combinatorics, it describes the idea that a number n of elements can be arranged and rearranged in many different ways.

Enter a value between 0 and 500 to use the permutation calculator:

Value:

Calculate

Permutation Formula

The permutation formula is represented by:

P_n = n! = n * (n – 1) * (n – 2) * (n – 3) ... 2 * 1

Permutation Examples

See below the example of the permutation of 5 elements:

P₅ = 5! = 5 * 4 * 3 * 2 * 1 = 120

Representações do cálculo da permutação utilizando Fatorial

The permutation uses the concept of factorial numbers to calculate its results, see below other ways to represent such values:

P₅ = 5!
ou
5 * 4!;
ou
5 * 4 * 3!;
ou
5 * 4 * 3 * 2!;
ou
5 * 4 * 3 * 2 * 1!;
ou
5 * 4 * 3 * 2 * 1;

Reinforce your knowledge with the video below