Evaluate the following permutation
5P3
Permutation Definition:
An order or arrangement
Permutation Formula:
| nPr = | n! |
| (n - r)! |
where n is the number of items
r is the number of arrangements.
Plug in n = 5 and r = 3
| 5P3 2 | 5! |
| (5 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 5!
Calculate (n - r)!:
(n - r)! = (5 - 3)!
(5 - 3)! = 2!
Calculate 5P3:
| 5P3 = | 5 x 4 x 3 x 2! |
| 2! |
| 5P3 = | 5 x 4 x 3 x |
5P3 = 5 x 4 x 3
Final Answer
5P3 = 60
