How it works
Order matters for permutations; combinations ignore order. Without replacement is the standard nPr/nCr pair.
nPr=n!/(n−r)! · nCr=n!/(r!(n−r)!) · n^r · C(n+r−1,r)
When to use
Use this tool when you need to: calc.net demo: n=6, r=2 → P=30, C=15. Soccer: 11P2=110 captains/keepers; 11C2=55 pairs of strikers.
How to use this tool
- Enter your values in the fields above.
- Review the formula and any mode options for your problem.
- Read the result and the step-by-step solution.
Calc.net demo: n=6, r=2 → P=30, C=15. Soccer: 11P2=110 captains/keepers; 11C2=55 pairs of strikers.
Frequently asked questions
- What is the Permutation and Combination Calculator?
- Order matters for permutations; combinations ignore order. Without replacement is the standard nPr/nCr pair.
- How do I use the Permutation and Combination Calculator?
- Enter the required values, then calculate. The Permutation and Combination Calculator shows results, formulas, and step-by-step work when available. No account is required.
- What formula does the Permutation and Combination Calculator use?
- nPr=n!/(n−r)! · nCr=n!/(r!(n−r)!) · n^r · C(n+r−1,r)
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