Combination Calculator
C(n, k) = n! / (k! (n − k)!) for unordered selections.
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How to use Combination Calculator
- Enter n, k. Leave a field blank only when the page says the value is missing.
- Read the result rows under the form. Errors appear in the status line. Nothing is uploaded.
- Rounding follows IEEE floating point in this browser unless the page says it uses integers or BigInt.
Combination Calculator
C(n, k)
| Computes | C(n, k) = n! / (k! (n − k)!) for unordered selections. |
|---|---|
| Includes | C(n, k) |
| Includes | Multiplicative formula |
| Engine | percentage |
| Upload | None |
| Advice | Arithmetic only |
What Combination Calculator is
C(10, 3) = 120. The page uses a multiplicative product and rounds to the nearest integer so large C(n, k) stay whole. Order does not matter; for order use permutations.
The formula runs in this tab. CZNull does not receive the numbers.
How this page computes
C(n, k) = C(n, n − k). k greater than n is rejected.
Entities and related jobs
C(n, k) = n! / (k! (n − k)!) for unordered selections. Named features: C(n, k), Multiplicative formula.
See also Permutation Calculator, Factorial Calculator, Percentage Calculator, Scientific Calculator, Fraction Calculator, GCD Calculator.
Use cases
Lottery-style 'n choose k', committees, and poker hand counts at small n.
Limits
Invalid input appears in the status line. IEEE floating point applies unless a row says otherwise. CZNull does not receive the numbers.