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Combination Calculator

Result

Calculated result 120 Based on the values entered.
↗ Math

Combination Calculator (nCr) Combination Calculator (nCr) is a mathematics calculator that helps you calculate combination calculator (ncr) values from your input data. The formula used is: nCr = n! / (r! × (n−r)!) · nPr = n! / (n−r)!. Ensure all inputs s — free online calculator.

Formula

nCr = n! / (r! × (n−r)!) · nPr = n! / (n−r)!
  • Combination Calculator calculates its result from n, r. It uses the formula nCr = n! / (r! × (n−r)!) · nPr = n! / (n−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: Combination

Inputs
  • n: 10
  • r: 3

Using n = 10, r = 3, the calculated result is 120.

Sample result: Calculating…

Frequently asked questions

What does the Combination calculate?

Combination Calculator (nCr) Combination Calculator (nCr) is a mathematics calculator that helps you calculate combination calculator (ncr) values from your input data. The formula used is: nCr = n! / (r! × (n−r)!) · nPr = n! / (n−r)!. Ensure all inputs s — 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: nCr = n! / (r! × (n−r)!) · nPr = n! / (n−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.

Page information

Updated: October 7, 2026