Evaluate the following permutation
6P4
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 = 6 and r = 4
| 6P4 2 | 6! |
| (6 - 4)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 6!
Calculate (n - r)!:
(n - r)! = (6 - 4)!
(6 - 4)! = 2!
Calculate 6P4:
| 6P4 = | 6 x 5 x 4 x 3 x 2! |
| 2! |
| 6P4 = | 6 x 5 x 4 x 3 x |
6P4 = 6 x 5 x 4 x 3
Final Answer
6P4 = 360
