What is the difference between permutation and combination?

In Permutations, the order of items matters. In Combinations, order does not matter.

Permutation & Combination

Calculate permutations and combinations from set sizes.

Total Items (n)

Sample Size (r)

Combinations (nCr) - Order does not matter

Permutations (nPr) - Order matters

Formula & Calculation Details

Permutations nPr = n! / (n-r)!. Combinations nCr = n! / (r! * (n-r)!). Factoring values up to n=100 using float approximation.

Frequently Asked Questions

In Permutations, the order of items matters (e.g. key lock code). In Combinations, order does not matter (e.g. selecting a committee).

Yes. All calculations utilize standard mathematical formulas implemented with high decimal precision to guarantee completely accurate results for academic homework and study checks.

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Yes. Simply click the 'Save PDF' button or press Ctrl+P. The print stylesheet will format the calculation inputs, charts, and tables into a clean, presentation-ready document.