Combinations Calculator (nCr)
Count the ways to choose r items from n when order doesn't matter — with or without repetition, exactly.
C(52, 5)
2,598,960
- Chance of one specific choice
- 1 in 2,598,960
Show the work
Ways to choose r of n
C(n, r) = n! ÷ (r! × (n − r)!)
52! ÷ (5! × 47!) = 2,598,960
How it works
C(n, r) = n! ÷ (r!(n − r)!); with repetition C(n + r − 1, r)
Questions
- How does the combinations calculator (nCr) work?
- C(n, r) = n! ÷ (r!(n − r)!); with repetition C(n + r − 1, r).
- What do I need to enter?
- Total items (n), Chosen (r), Repetition. Optional fields can be left blank.
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