Binomial Coefficient Calculator
Result
Binomial Coefficient Calculator Compute the binomial coefficient 'n choose k' — the number of ways to pick k items from a set of n when order does not matter. Enter n and k and this calculator returns C(n, k) = n! / (k!·(n−k)!). — free online calculator.
Formula
- Binomial Coefficient Calculator calculates its result from n, r. It uses the formula C(n, k) = n! ÷ (k! × (n − k)!). 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: Binomial Coefficient
- n: 10
- r: 3
Using n = 10, r = 3, the calculated result is 120.
Sample result: Calculating…
Frequently asked questions
What does the Binomial Coefficient calculate?
Binomial Coefficient Calculator Compute the binomial coefficient 'n choose k' — the number of ways to pick k items from a set of n when order does not matter. Enter n and k and this calculator returns C(n, k) = n! / (k!·(n−k)!). — 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: C(n, k) = n! ÷ (k! × (n − k)!).
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.