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Permutation Calculator

Count ordered selections without repetition. Whole numbers with 0 ≤ r ≤ n ≤ 1,000.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate result.

Your result
Enter your details

Result will appear here

How Permutation Calculator works

Count ordered selections without repetition.

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order matters. Exact integer output.

Concept diagram for Permutation Calculator, showing total distinct items n input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Permutation Calculator

Follow the labelled inputs.

Enter total distinct items n

Replace the example with total distinct items n. The field labels specify the expected format and units.

Calculate result
Input and settings
Permutation Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set ordered selections r. Whole numbers with 0 ≤ r ≤ n ≤ 1,000.

Calculate result
Tool result
Permutation Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate result. Review the calculated result, then copy it or download the result text.

Calculate result
Review the details
Permutation Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Permutation Calculator

Check the supplied example

The starting example produces 720. Count ordered selections without repetition.

Calculate result
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for total distinct items n and ordered selections r. Whole numbers with 0 ≤ r ≤ n ≤ 1,000.

Calculate result
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate result
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Count ordered selections without repetition.

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order matters. Exact integer output.

Calculate resultCalculate result
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order matters. Exact integer output.

The input stays in this browser. Copy result and Download save the same displayed text.

Calculate resultCalculate result
Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Permutation Calculator: common questions

Answers about using Permutation Calculator and understanding its results.

Which inputs does this tool accept?

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order matters. Exact integer output.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result