Combinations and Permutations Calculator
Calculate nCr and nPr. The result updates as you type, with the working underneath so you can check it.
Your details
Result
Combinations nCr
120
order does not matter
- Permutations nPr
- 720
- With repetition (nʳ)
- 1,000
Good to know: nCr = n! ÷ (r!(n−r)!)
About this tool
Formula
nCr = n! ÷ (r!(n−r)!)
Questions people ask
What is the difference between combinations and permutations?
Permutations count ordered selections, combinations ignore order. Choosing 3 of 10 people for a team is a combination: 120.
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How we calculate this
We use the standard published formula or definition for this calculation, and we show the working so you can check it.
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