What is the Permutation and Combination Calculator?
Use permutations when order matters (arranging books, race positions, PIN codes) and combinations when order does not matter (choosing a team, lottery numbers). Enter n (total items) and r (items chosen) to get nPr, nCr and the versions with repetition, plus n!.
How to use the Permutation and Combination Calculator
- Enter n – the total number of items.
- Enter r – how many you choose.
- Read nPr, nCr and the repetition results.
Formulas
- nPr = n! / (n − r)!
- nCr = n! / (r! (n − r)!)
- With repetition: nʳ (ordered) and (n+r−1)Cr (unordered)
Example
Choosing 3 players from 10: 10C3 = 120 teams. Awarding gold, silver and bronze to 3 of 10: 10P3 = 720 ways.
This Permutation and Combination Calculator is 100% free, needs no signup and runs privately in your browser – on phone, tablet or computer.
Last updated: · By NodifyTech