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Toolzum

Combination Calculator

Compute nCr combinations and nPr permutations with factorial steps shown. Count 5-card poker hands (2,598,960) correctly — free, local, no signup.

100% Local Browser Native

How to Use the Combination Calculator

1. Enter n and r

Total items with chosen count.

2. Pick C or P

Order matters decides.

3. Read with steps

Factorial expansion shown.

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Frequently Asked Questions

How many 5-card poker hands?

2,598,960 = C(52,5) — order doesn't matter in poker, so combinations apply. Permutations would overcount 120x.

Combinations vs permutations?

Order matters → permutations (P); order irrelevant → combinations (C). Teams and hands use C; passwords and rankings use P.

Large numbers?

Exact integers into the millions; beyond that scientific notation with full precision preserved.

Do lottery numbers upload?

No — math runs locally in your browser. Numbers never leave your device.

Last updated October 2026