Permutation

usgb/ˌpɜːrmjuˈteɪʃn/
noun

In math, a permutation is the act of arranging all the members of a set into a particular sequence or order.

If you arrange the numbers 1, 2 and 3, all the possible permutations are 123, 132, 213, 231, 312, 321.
Visual representation of "permutation" - In math, a permutation is the act of arranging all the members of a set into a particular sequence or order.

Often appears as...

  • permutation and combination
  • permutation in math

Usage tips

Academic

Definition 1 of 2
Visual representation of "permutation"
LampPro Tip 1/3

Math Specific

Used in math to describe all possible orders of a set, important for probability and statistics.

Illustration for Math Specific
By calculating the permutations, we determine all possible outcomes.
LampPro Tip 2/3

Fixed Order

Unlike combinations, every permutation has a unique sequence that matters a lot.

Illustration for Fixed Order
Changing the permutation of a lock's code can prevent it from opening.
LampPro Tip 3/3

Not Interchangeable

Sequence is key; swapping elements changes the permutation, producing a different arrangement.

Illustration for Not Interchangeable
In a race, permutations of finishers determine the exact rankings.
Visual representation of the word "Permutation"

Never forget "Permutation"

Humans forget easily. That's why you should download WordUp: Smart reminders, word games, AI practice, and much more!

Download on the App StoreGet it on Google PlayGet it from MicrosoftGet it on AppGallery
Chrome

WordUp Chrome Extension

As you browse the web instantly look up words you don’t know.

Get Chrome Extension
Back to top