Permutations Calculator

Discover the number of possible arrangements. Enter the total items and items to choose to calculate permutations.

Enter Values

Total Items (n):

Items to Choose (r):

Result

Number of Permutations:

Calculation Steps

Permutations Visualization

Visual representation of arranging items out of .

Total Items

Items to Choose

What are Permutations?

In mathematics, a permutation is an arrangement of objects in a specific order. The order of arrangement matters in permutations. For example, if you have letters ABC, the permutations of choosing 2 letters are AB, BA, AC, CA, BC, CB.

The formula for permutations of choosing 'r' items from a set of 'n' items is given by:

$$P(n, r) = rac{n!}{(n-r)!}$$

n is the total number of items in the set.
r is the number of items to choose for the arrangement.
! denotes factorial, which is the product of all positive integers up to that number.

Use this calculator to easily find the number of permutations for your specific values of 'n' and 'r'.