Permutation Calculator

Calculate permutations where order matters (e.g., ABC is different from BAC)



Leave empty for all items

How It Works

This tool calculates permutations where the order of items matters:

  • Full permutations (n!): All possible arrangements of all items
  • Partial permutations (nPr): All possible arrangements of r items selected from n items
  • Formula: nPr = n! / (n-r)! where n is total items and r is subset size

Note: Permutations differ from combinations - in permutations, ABC and BAC are counted as different arrangements.

Simplicity at Its Best

This tool calculates all possible orders for any list. It works by reordering items. It uses permutations where order matters.

How It Works

Type your items into the text box. Use commas to separate each item. For example: A, B, C, D.

The calculator splits the list into individual items. It then computes every possible order.

Results appear as a numbered list. Each entry shows one permutation.

How to Use This Tool

Follow these steps:

  1. Enter the items in the provided text area. Write each item separated by a comma.
  2. If you want a subset of items, type a number in the subset size box. Leave it empty to use all items.
  3. Click the "Calculate Permutations" button.
  4. Review the displayed formula and calculation details.
  5. Check the list of permutations in the results section.

Input Field Explanations

The first field accepts items. You can type letters or words here. Each item should be separated with a comma.

The second field is for the subset size. This tells the program how many items to arrange at a time. If you leave it blank, the tool uses all items.

Understanding the Output

The output is a list of different orders. It shows how many orders are possible. If many orders exist, a warning is given before showing all entries.

Limitations and Special Notes

If the total number of orders is very high, the tool may show only a portion of them. This stops the browser from slowing down.

A prompt may ask you to confirm display if many orders are generated.

Common Use Cases

This permutation calculator makes the task of ordering items simple. Just type your input, press the button, and get a clear list of outcomes. The process is quick and easy.