# Permutation and Combination Calculator

Total Amount in a Set ( n ) | |

Amount in each Sub-Set ( r ) | |

## Result

Permutations = 6!/(6-2)! = **30**

Combinations = 6!/(2!×(6-2)!) = **15**

### Permutation

A permutation is the number of ways of selecting r objects from a set of n objects without replacement and the order matters. Permutation is normally written as nPr.

- nPr = n!/(n-r)!

Example: The number of ways of picking a goal keeper and a team caption from the 11 members of a soccer team, where the goal keeper and the team caption cannot be the same person.

- nPr = 11!/(11-2)! = 110

### Combination

A combination is the number of ways of selecting r objects from a set of n objects without replacement and the order does __ NOT__ matter. Combination is normally written as nCr.

- nCr = n!/(n!(n-r)!)

Example: The number of ways of picking 2 strikers from the 11 members of a soccer team.

- nCr = 11!/(2!(11-2)!) = 55