Mathematics
Combinations and permutations
Combinations and permutations: calculate from your inputs and inspect the formula. No account required. Processing stays in your browser.
P(n,k)=n!/(n−k)!; C(n,k)=P(n,k)/k!
Check units and the formula domain. Numerical results are rounded.
How to use this calculator
- Identify the quantities and convert them to the units shown.
- Apply the formula first, then compare with the substitution and result.
- Check the assumptions and whether the order of magnitude makes sense.
Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.
A practical example
Use these sample inputs to check the calculation before entering your own values.
- Elements n
- 10
- Selections k
- 3
Result for this example
- Permutations
- 720
- Combinations
- 120