# Permutation Calculator

A **permutation** is a technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

## What is Permutation Calculator?

'Cuemath's Permutation Calculator' is an online tool that assists in calculating the number of possible ways to select a subset (r). Cuemath's online permutation calculator helps you to calculate the number of permutations in a few seconds.

## How to Use Permutation Calculator?

Please follow the below steps to find the number of permutation:

**Step 1:**Enter the total number of objects (n), and the sample size (r) in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the number of Permutation.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Permutation Calculator?

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:**

Find the number of ways in which the top 3 players can be ranked from a pool of 6 players.

**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.