# 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:

### 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:

P_{5} = 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:

P_{5} = 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