# How do you evaluate 8P3?

May 20, 2017

Take the factorial of the first number and divide it by the factorial of the second number subtracted by the first number.

#### Explanation:

The permutation formula is ""_nP_r=(n!)/((n-r)! Since $n = 8$ and $r = 3$ We can just substitute values and solve:

""_nP_r=(n!)/((n-r)!)=(8!)/((8-3)!)=(8cdot7cdot6cdotcancel(5cdot4cdot3cdot2cdot1))/cancel(5cdot4cdot3cdot2cdot1)

$8 \cdot 7 \cdot 6 = 336$