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


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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.

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.

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.

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