Permutation Calculator
Ordered arrangements nPr.
Enter your values
ⓘ Live results
Results
- Permutations nPr
- 720
- With repetition (n^r)
- 1,000
- Combinations nCr
- 120
- Ratio P/C
- 6
Quick answer
A permutation counts arrangements where order matters: nPr = n!/(n−r)!.
nPr = n! / (n − r)!
How to use the Permutation Calculator
- 1Enter the total number of items.
- 2Enter how many you are arranging.
- 3Compare with combinations if order does not matter.
Worked example
Using the values the calculator loads with:
Inputs
- Total items n10
- Choose r3
Results
- Permutations nPr720
- With repetition (n^r)1,000
- Combinations nCr120
- Ratio P/C6
Frequently asked questions
Permutation or combination?
Permutation when order matters (podium places), combination when it does not (lottery).
What is nP0?
1 — there is one way to arrange nothing.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.