Question

PLEASE HELP ME!
Find each value. Use a calculator if needed.

ORDER MATTERS!

a) P(12, 5)
= A. 60 B. 248,832 C. 95,040 D. 300

b) P(8, 8)
= A. 64 B. 40,320 C. 30,555 D. 16

Answer 1

Presumably, $P(n,k)$ refers to the number of ways we can pick $k$ objects from a pool of $n$ objects in a certain order. We have

$P(n,k)=\dfrac{n!}{(n-k)!}$

so

$P(12,5)=\dfrac{12!}{(12-5)!}=\dfrac{12!}{7!}=95,040$

$P(8,8)=\dfrac{8!}{(8-8)!}=\dfrac{8!}{0!}=40,320$