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.
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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
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
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.