Permutation & Combination Calculator

Compute P(n, r) and C(n, r) with exact values and clear steps.

Enter Values

Use non-negative integers where n is greater than or equal to r.

Permutation counts ordered arrangements. Combination counts selections where order does not matter.

Ready to Calculate?

Enter n and r to view permutation, combination, and formula steps.

Calculation Steps

Permutation and combination formulas are expanded below.

n
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r
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Combination
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About Permutation & Combination Calculator

This calculator helps you solve P(n, r) and C(n, r) using the standard permutation and combination formulas.

It shows exact browser-side results with expanded steps, so you can understand both ordered arrangements and unordered selections.

The calculation runs directly in your browser without WordPress REST gateways, n8n webhooks, or external workflow calls.

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What is this calculator?

Calculate P(n, r) and C(n, r) with exact results, formulas, step-by-step working, and share tools.

This mathematics calculators page is designed for quick checks, planning, and everyday decision support without forcing users through a heavy workflow.

How to use it?

Enter the required values in the calculator above, review any optional settings, and run the calculation. Check the result summary and reset the form when you want to try a different scenario.

For important decisions, compare the output with your own records and professional guidance where needed.

Formula or method

Permutation P(n, r) = n! / (n - r)!. Combination C(n, r) = n! / (r! x (n - r)!).

Worked example

Example: choose n = 5 and r = 2 to compare ordered selections with unordered selections.

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FAQ

Permutation & Combination Calculator FAQs

Visible answers for users before they rely on a calculator result.

Yes. The Permutation & Combination Calculator is free to use in your browser.