Evaluate the following permutation
12P12
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 = 12 and r = 12
| 12P12 2 | 12! |
| (12 - 12)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 12!
Calculate (n - r)!:
(n - r)! = (12 - 12)!
(12 - 12)! = 0!
Calculate 12P12:
| 12P12 = | 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 x 0! |
| 0! |
| 12P12 = | 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 x |
12P12 = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Final Answer
12P12 = 479,001,600
