Combinations & Permutations Calculator
Compute combinations C(n,k) and permutations P(n,k) together.
Input Data
N
K
Results
Number of combinations.
120
Number of permutations.
720
Explanatory note about the result.
C(10,3)=120；P(10,3)=720
At a glance:C(n,k) = n!/(k!(n−k)!); P(n,k) = n!/(n−k)!. Complements combination and permutation.
Formula
C(n,k) = n!/(k!(n−k)!).
P(n,k) = n!/(n−k)!.
How to Use
- Enter n and k.
- The tool returns both counts.
Case Studies
n=5, k=2
C=10; P=20.
FAQ
Why is P larger than C?
Permutations count each ordering separately; combinations do not.
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References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.