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)=(n!)/((n-k)!)`

so


`P(12,5)=(12!)/((12-5)!)=(12!)/(7!)=95,040`


`P(8,8)=(8!)/((8-8)!)=(8!)/(0!)=40,320`