Evaluate the following permutation
10P6
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 = 10 and r = 6
| 10P6 2 | 10! |
| (10 - 6)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 10!
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
10! = 3,628,800
Calculate (n - r)!:
(n - r)! = (10 - 6)!
(10 - 6)! = 4!
4! = 4 x 3 x 2 x 1
4! = 24
Calculate 10P6:
| 10P6 = | 3,628,800 |
| 24 |
Final Answer
10P6 = 151,200
