Permutations Calculator
P(n,k) = n! ÷ (n − k)!
Count ordered selections without replacement from distinct items.
Formula
P(n,k) = n! ÷ (n − k)!
Worked example
Available items: 10
Ordered selections: 3
With these inputs, the result is **720 **.
How to use this calculator
- Identify the quantity you want to calculate.
- Enter your measurements in the units shown on each field.
- Read the result, which updates as you change the inputs.
- Check the assumptions below before applying the result.
Assumptions and limits
Order matters. Repeated selections are not allowed; large outputs may overflow.
Precision and checking
Results are rounded for display. Use the most accurate measurements available, and avoid rounding your inputs unnecessarily. Extra decimal places in a result do not make an estimate more reliable.
To check a result, substitute the same input values into the formula shown above. Change one value at a time to understand how the quantity responds.
Frequently asked questions
What assumptions does this calculation use?
Order matters. Repeated selections are not allowed; large outputs may overflow.
Are my inputs sent to a server?
No. The calculation runs locally in your browser. The result updates as you edit the inputs.
