Free tool
Permutations generator
Type a list of items and get every way of arranging them (or of arranging k of them), with the total calculated.
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Everything is processed in your browser. What you type is not sent to any server or stored.
How it works and what it does with your text
It's a small, straightforward utility: you paste, choose options and copy the result.
It runs in your browser
The text is transformed by this page's code, on your device. No sign-up or installation needed.
We don't store what you type
We don't send your text to any server or store it. You can check this in the Network tab of your browser's developer tools.
Free and unlimited
Use it as often as you like. It works the same on mobile and on desktop.
Tips to get the most out of it
Here order does matter
“ab” and “ba” are different permutations. Arranging 3 items gives 3! = 6 ways, arranging 5 gives 120 and arranging 10 gives more than 3.6 million.
With repetition: n to the power of k
If every position can be any item, the total is n^k. A 4-digit PIN is 10^4 = 10,000 possibilities.
Partial permutations
If you only arrange k of the n items, the total is n! / (n−k)!. For example, the podium of 8 runners (3 places) is 336 possibilities.
For tests and anagrams
Put each letter of a word on its own line to see all its possible anagrams (with repeated letters there will be duplicate results: remove them afterwards).
Frequently asked questions
What is a permutation?
It is a way of arranging the items of a list. From A, B and C there are 6 permutations: ABC, ACB, BAC, BCA, CAB and CBA.
How many permutations are there of n items?
n factorial (n!): the product of all the numbers from 1 to n. 4! = 24, 5! = 120, 10! = 3,628,800.
What is the difference from combinations?
In permutations order counts; in combinations it doesn't. That is why there are more permutations than combinations.
Why is the result trimmed?
Because the number of permutations grows very fast: with 12 items there are already 479 million. Up to the limit you choose is shown, and the total is always calculated.
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