Evaluate the following permutation
15P8
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 = 15 and r = 8
| 15P8 2 | 15! |
| (15 - 8)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 15!
Calculate (n - r)!:
(n - r)! = (15 - 8)!
(15 - 8)! = 7!
Calculate 15P8:
| 15P8 = | 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7! |
| 7! |
| 15P8 = | 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x |
15P8 = 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8
Final Answer
15P8 = 259,459,200
