Permutation Combination Calculator
nPr = n!÷(n−r)!; nCr = n!÷(r!(n−r)!)10P3=10×9×8=720; 10C3=720÷6=120
Free online tool
Permutation Combination Calculator
Enter n (total items) and r (selected items) to find arrangements and selections.
Instant calculation
Permutation Combination Calculator
Enter n (total items) and r (selected items) to find arrangements and selections.
Your result
Calculation
Your numbers stay in this browser. Nothing is uploaded or saved.
Three clear steps
How to use this calculator
- 01
Enter n
Type the total number of items.
- 02
Enter r
Type the number of items to choose.
- 03
See results
Calculate to see both permutation and combination counts.
The formula
How this calculation works
Permutations count ordered arrangements. Combinations count unordered selections.
Check the method
Worked examples
Each example follows the same formula used by the calculator.
10 items, choose 3 — permutations and combinations?
10P3=10×9×8=720; 10C3=720÷6=120720 permutations; 120 combinationsCommon questions
Questions about this calculation
What is the Permutation Combination Calculator?
The Permutation Combination Calculator helps you calculate permutations (nPr) and combinations (nCr) for given n and r. Enter your values and select Calculate to get an instant result.
How is the result calculated?
Permutations count ordered arrangements. Combinations count unordered selections.
Can you show an example?
Example: 10 items, choose 3 — permutations and combinations? — 720 permutations; 120 combinations.
Is my data saved when I use the Permutation Combination Calculator?
No. All calculations run locally in your browser. Your inputs and results are never uploaded, stored or shared with anyone.
Is the Permutation Combination Calculator free to use?
Yes. The Permutation Combination Calculator is completely free. No account, sign-up or payment is required. It works on mobile, tablet and desktop.
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