Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr). Free counting principle calculator.
How to Use This Calculator
Enter your values in the fields above and click "Calculate" to get instant results. This permutation & combination calculator provides accurate results with step-by-step explanations.
Formula
P(n,r) = n!/(n-r)! | C(n,r) = n!/(r!(n-r)!)
Quick Examples
- P(10,3) = 720
- C(10,3) = 120
- C(52,5) = 2,598,960
Frequently Asked Questions
What is the difference between permutation and combination?
Permutations care about order (ABC ≠ BAC), combinations do not (ABC = BAC). Use permutations for arrangements, combinations for selections.
When do I use permutations vs combinations?
Use permutations when order matters (e.g., arranging people in a line). Use combinations when order doesn't matter (e.g., choosing a committee).