Evaluate the following expression.
12P4
12P4 = 12! / (12-4)!
Calculating the factorial values:
12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479001600
(12-4)! = 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
Plugging these values back into the expression:
12P4 = 479001600 / 40320 = 11880
Therefore, 12P4 = 11880.