Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr) for given values of n and r.
Enter integers where 0 ≤ r ≤ n.
- Permutation (nPr):
This counts the number of ways to arrange r objects out of n distinct objects, where the order matters.
The formula: nPr =n!(n−r)! nPr=(n−r)!n! Example: The number of ways to pick a team captain and a goalkeeper from 11 players is a permutation since order matters (position assigned). - Combination (nCr):
This counts the number of ways to select r objects from n distinct objects, where the order does not matter.
The formula: nCr=n!r!(n−r)! nCr=r!(n−r)!n! Example: The number of ways to choose a committee of 3 people from a group of 10 is a combination because order does not matter.