Question

How do you evaluate 8P3?

Answer 1

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*7*6=336`