Arithmetic & Number Theory
Permutations (nPr)
Ordered arrangements of r from n.
Formula
Formula
P(n,r) = n!n−r!
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | total items | integer (ℤ) | — | input |
| r | chosen items | integer (ℤ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenn = 10, r = 3
Result720
Example 2
Givenn = 6, r = 2
Result30