Permutations Calculator
Calculate the number of permutations (arrangements) of n items taken r at a time, with or without repetition.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Permutations Calculator
- Enter Total Items (n): Type the total number of items you have (e.g., 5). Must be a non-negative integer.
- Enter Items to Choose (r): Type how many items you want to select (e.g., 3). Must be a non-negative integer.
- Allow Repetition (optional): Check this box if you can choose the same item more than once. If unchecked, r cannot exceed n.
- Click "Calculate Permutations": The result, formula, and steps will appear below.
Note: All inputs must be whole numbers. The calculator shows the number of ways to arrange r items from n total, with or without repetition.
Previous Results
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Frequently Asked Questions
A permutation is an arrangement of items in a specific order. The number of permutations of n items taken r at a time is denoted as nPr.
Without repetition, each item can only be used once. With repetition, items can be reused. The formula for without repetition is n!/(n-r)!, and with repetition is n^r.
Without repetition, r cannot exceed n. With repetition, r can be greater than n because items can be repeated.
