What is the Permutation Calculator?
Count ordered arrangements (permutations) of r items chosen from n. From percentages and fractions to logarithms and quadratic equations, these math calculators show exact results — using arbitrary-precision integers wherever whole-number answers can get very large.
How to use the Permutation Calculator
- Enter your total items, your chosen.
- Results update automatically as you type; you can also press Calculate.
- Read the output: permutations npr, with repetition (nʳ).
- Use the 📊 chart to see the result visually, then copy or share it.
Formula and method
Worked example
With total items = 10, chosen = 3, the Permutation Calculator returns permutations npr: 720; with repetition (nʳ): 1,000.
Tips for better results
- Use the formula section on each page to check your homework method, not just the answer.
- For very large factorials, combinations and base conversions we use exact big-integer math.
- Floating-point results are rounded to 12 significant digits to remove binary noise.
Frequently asked questions
What does the Permutation Calculator do?
Count ordered arrangements (permutations) of r items chosen from n.
How is it calculated?
The Permutation Calculator uses this method: nPr = n! ÷ (n − r)!.
Can you show an example?
With total items = 10, chosen = 3, the Permutation Calculator returns permutations npr: 720; with repetition (nʳ): 1,000.
Is the Permutation Calculator accurate?
Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.
Is this tool free and private?
Yes — the Permutation Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.
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