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Permutation Calculator

Count ordered selections without replacement. Selecting A then B differs from selecting B then A.

Enter your values

Enter a numeric value. Use a whole number. Must be greater than zero. Allowed range: 1–170.
Enter a numeric value. Use a whole number. Use a non-negative value. Allowed range: 0–170.

Use a decimal point, without thousands separators.

Example result
Result
720

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Count ordered selections without replacement. Selecting A then B differs from selecting B then A.

Inputs and units
Permutation Calculator · Inputs and units
InputExample valueWhat to enter
Available items10Enter a numeric value. Use a whole number. Must be greater than zero. Allowed range: 1–170.
Ordered positions3Enter a numeric value. Use a whole number. Use a non-negative value. Allowed range: 0–170.
P(n,k) = n! / (n−k)!

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Available items
10
Ordered positions
3

Complete example results

Result
720

Reading the result

Use quantities on the same basis. The starting value in percentage change, the denominator in a ratio and the length unit in geometry determine the meaning of the answer. Check the formula conditions alongside the example.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

What would you like to calculate?

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