720 permutations, 120 combinations
Permutation and Combination Calculator
Use this free permutation and combination calculator to find nPr and nCr with exact integer answers, steps, examples, copy, and history.
Formula steps Examples included Copy results Private history
n=10, r=3120 combinations
- nPr
- 720
- nCr
- 120
- Order matters
- Permutation
How to use the permutation and combination calculator
- Enter n for the total items and r for the items selected.
- Press Calculate nPr and nCr to see permutation and combination counts.
- Use nPr when order matters and nCr when order does not matter.
- Review the formulas, examples, recent answers, and exact integer output.
Common uses
Find permutations when order matters.
Find combinations when order does not matter.
Check probability and counting homework examples.
Copy exact nPr and nCr results for notes or study.
Examples
2,598,960 combinations
336 permutations
Frequently asked questions
Quick answers about formulas, inputs, examples, result copying, and private in-browser history.
What is a permutation?
A permutation counts arrangements where order matters. ABC and BAC are different permutations.
What is a combination?
A combination counts selections where order does not matter. ABC and BAC are the same combination.
What do n and r mean?
n is the total number of items. r is the number of items selected or arranged.
What input range is supported?
This calculator supports whole-number n values from 0 to 500 and r values from 0 to n.
How does this connect to probability?
Many probability problems use combinations or permutations to count favorable outcomes and total possible outcomes.
Is my counting history private?
Yes. Recent nPr and nCr answers stay only in the current browser tab while you use the page. They are not sent to a server.
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