# Permutation Calculator

Permutation Calculator calculates the number of possible ways for the given number of objects and sample size. A permutation is defined as a technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

## What is Permutation Calculator?

Permutation Calculator is an online tool that assists in calculating the number of possible ways to select a subset (r). This online permutation calculator helps you to calculate the number of permutations in a few seconds. To use this permutation calculator, enter the values up to five digits only.

## How to Use Permutation Calculator?

Please follow the steps below to find the number of permutations using an online permutation calculator:

**Step 1:**Go to Cuemath’s online permutation calculator**Step 2:**Enter the total number of objects (n), and the sample size (r) in the given input box of the permutation calculator.**Step 3:**Click on the**"Calculate"**button to find the number of permutations.**Step 4:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How Permutation Calculator Works?

A permutation is defined as the number of possible ways to select a subset (r) from a larger set of objects (n), however the order of subset matters here. To determine the number of Permutation the following formula is used:

P(n,r) = n! / (n-r)!

It is read as the number of possible Permutation of selecting a subset r from n distinct objects.

**Solved Example on Permutation:**

Find the number of ways in which the top 3 players can be ranked from a pool of 6 players and verify it using the permutation calculator?

**Solution:**

Total number of players (n) = 6

Required subset size = 3

Number of possible permutations = P(n,r) = n!/(n-r)!

P(6,3) = 6!/(6-3)!

P(6,3) = 6!/(3)!

P(6,3) = 120.

Therefore, the total number of ways to rank the top 3 players from a pool of 6 players.

Similarly, you can try the permutation calculator to find the number of permutations for:

- Number of objects = 10 and sample size = 5
- Number of objects = 24 and sample size = 15