Permutation and Combination Calculator

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Calculation Type

Total Items (n)

Items to Choose (r)

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Understanding Permutations and Combinations

Permutations

Without Repetition (nPr)

Order matters
Formula: P(n,r) = n! / (n-r)!
Example: Arranging people in a line
Each item can be used only once

With Repetition

Order matters
Formula: n^r
Example: PIN numbers
Items can be repeated

Combinations

Without Repetition (nCr)

Order doesn't matter
Formula: C(n,r) = n! / (r! × (n-r)!)
Example: Selecting team members
Each item can be used only once

With Repetition

Order doesn't matter
Formula: C(n+r-1,r)
Example: Selecting items from a store
Items can be repeated