Permutations Calculator

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Calculate permutations to find how many ways you can arrange items from a larger set where order matters.

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Enter Your Measurements

Results

Permutations

720.00

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Formula

P(n,r) = n! / (n-r)!

How to Use This Calculator

How to Use

  1. 1

    Enter the total number of items (n).

  2. 2

    Enter how many items you're arranging (r).

  3. 3

    Click calculate.

Frequently Asked Questions

Frequently Asked Questions

When do I use permutations?

Use permutations when order matters. For example, the number of ways to arrange 3 people in a line from 10 people.

Is permutation always larger than combination?

Yes, permutation is always >= combination for the same n and r, because order matters in more arrangements.
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About This Calculator

This calculator uses the formula: P(n,r) = n! / (n-r)!. All calculations follow industry-standard methods. Results are estimates — always verify with a licensed professional for structural or code-compliant work.

Built and maintained by the CalcSmart team. Last updated March 2026.

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<iframe src="https://calcsmart.io/embed/permutations-calculator" width="100%" height="520" frameborder="0" style="border-radius:8px;border:1px solid #e5e7eb" title="Permutations Calculator"></iframe>

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