Counting Calculator

Solve counting problems with the sum and product rules. Every step is labeled with the rule it uses and rendered in proper math notation, so you can follow how the answer comes together. Type in your problem to start. Free to use, no account required.

Example

arrange 3 of 5 books → 60 = P(5,3)

Tips

• Sum rule for either/or; product rule for sequential choices.
• Order matters → permutations; order doesn't → combinations.
• Watch for overcounting from symmetry.

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