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Permutation Calculator

P(n, k) = n! / (n − k)! for ordered selections. n at most 170 on this page.

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Results

How to use Permutation Calculator

  1. Enter n, k. Leave a field blank only when the page says the value is missing.
  2. Read the result rows under the form. Errors appear in the status line. Nothing is uploaded.
  3. Rounding follows IEEE floating point in this browser unless the page says it uses integers or BigInt.

Permutation Calculator

P(n, k)

ComputesP(n, k) = n! / (n − k)! for ordered selections. n at most 170 on this page.
IncludesP(n, k)
Includesn at most 170
Enginepercentage
UploadNone
AdviceArithmetic only

What Permutation Calculator is

Permutations count ordered tuples. P(10, 3) = 10 × 9 × 8 = 720. k cannot exceed n. Unordered selections are combinations.

The formula runs in this tab. CZNull does not receive the numbers.

How this page computes

Factorial alone is the factorial page. Results are integers in IEEE range up to 170!.

Entities and related jobs

P(n, k) = n! / (n − k)! for ordered selections. n at most 170 on this page. Named features: P(n, k), n at most 170.

See also Combination Calculator, Factorial Calculator, Prime Checker, Percentage Calculator, Scientific Calculator, Fraction Calculator.

Use cases

PINs, race finishing orders, and password length counting when order matters and repeats are not allowed.

Limits

Invalid input appears in the status line. IEEE floating point applies unless a row says otherwise. CZNull does not receive the numbers.

Permutation Calculator questions

Does this page upload my numbers?
No. The formula runs in the page you opened. CZNull does not receive the values.
What does Permutation Calculator compute?
Permutations count ordered tuples.
Why is this its own URL?
Search queries name this job. Nearby modes stay on their own pages so inputs do not mix. Related calculators are linked below Permutation Calculator.
P(10, 3)?
720.
Does order matter?
Yes. Use combinations when it does not.
Can I treat the result as official?
No. Rounding and real-world rules can differ. Use the page to check the arithmetic.