Permutation & Combination

Calculate permutations & combinations easily

Calculation Type:

Total Items (n):

Items Selected (r):

Allow repetition

Permutations vs Combinations

Order matters

Arrangements where order is important

Without repetition:

nPr = n! / (n - r)!

With repetition:

nPr = n^r

Picking president, vice-president, secretary from 5 people:
5P3 = 60 different arrangements

Order doesn't matter

Selections where order is not important

Without repetition:

nCr = n! / (r! × (n - r)!)

With repetition:

nCr = (n + r - 1)! / (r! × (n - 1)!)

Picking 3 team members from 5 people:
5C3 = 10 different teams