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