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Combination Calculator

Count unordered 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 Combination Calculator works

Count unordered selections without repetition.

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order does not matter. Exact integer output.

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

How to use Combination 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
Combination 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 unordered selections r. Whole numbers with 0 ≤ r ≤ n ≤ 1,000.

Calculate result
Tool result
Combination 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
Combination 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 Combination Calculator

Check the supplied example

The starting example produces 120. Count unordered 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 unordered 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 unordered selections without repetition.

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order does not matter. 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 does not matter. 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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Combination Calculator: common questions

Answers about using Combination Calculator and understanding its results.

Which inputs does this tool accept?

Whole numbers with 0 ≤ r ≤ n ≤ 1,000. Items are distinct; order does not matter. 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