Permutation and Combination Calculator
Enter n and r to calculate permutations (nPr) and combinations (nCr). Useful for probability, counting, and combinatorics.
Enter whole numbers only. Conditions: n ≥ 0, r ≥ 0, and r ≤ n.
Result will appear here.
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Privacy: calculations run locally in your browser. No values are stored or transmitted.
How it works
Permutation: nPr = n! / (n−r)!
Combination: nCr = n! / (r!(n−r)!)
Examples
- 10P3 = 720
- 10C3 = 120
- Combinations are always less than or equal to permutations for the same n and r
FAQ
- What is the difference between permutations and combinations?
Permutations count arrangements where order matters. Combinations count selections where order does not matter.
- What are the formulas?
Permutations: nPr = n! / (n−r)! . Combinations: nCr = n! / (r!(n−r)!).
- Can n or r be negative or decimal?
No. This calculator requires whole numbers with n ≥ 0, r ≥ 0, and r ≤ n.
- Are my inputs stored?
No. All calculations run locally in your browser and are not sent to a server.