Permutation & Combination Calculator
Result
Calculated result
720
Based on the values entered.
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Permutation & Combination Calculator — free online calculator.
Formula
nPr = n! / (n−r)! (order matters). nCr = n! / (r! × (n−r)!) (order does not matter). nPr = nCr × r!
- Permutation & Combination Calculator calculates its result from n, r. It uses the formula nPr = n! / (n−r)! (order matters). nCr = n! / (r! × (n−r)!) (order does not matter). nPr = nCr × r!. Change any input to recalculate the result instantly.
- The main inputs are n, r. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Permutation & Combination
Inputs
- n: 10
- r: 3
Using n = 10, r = 3, the calculated result is 720.
Sample result: Calculating…
Frequently asked questions
What does the Permutation & Combination calculate?
Permutation & Combination Calculator — free online calculator.
Which values should I enter?
Enter n, r using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: nPr = n! / (n−r)! (order matters). nCr = n! / (r! × (n−r)!) (order does not matter). nPr = nCr × r!.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.