Question

Select the correct answer.

There are 9 applicants for 3 jobs: software engineer, computer programmer, and systems manager. Which statement best describes this situation?

A.
There are 9P3 = 504 ways the positions can be filled because the order in which the applicants are chosen doesn’t matter.
B.
There are 9C3 = 84 ways the positions can be filled because the order in which the applicants are chosen doesn’t matter.
C.
There are 9P3 = 504 ways the positions can be filled because the order in which the applicants are chosen matters.
D.
There are 9C3 = 84 ways the positions can be filled because the order in which the applicants are chosen matters.

Answer 1

C.

There are 9P3 = 504 ways the positions can be filled because the order in which the applicants are chosen matters

Explanation:

PLATO

Answer 2

Option C.

Explanation:

It is given that,

Total number of applicants = 9

Number of job = 3

We need to select 3 applicants out of 9. So, the required number of ways is

`^9P_3=(9!)/((9-3)!)`

`^9P_3=(9* 8* 7* 6!)/(6!)`

`^9P_3=9* 8* 7`

`^9P_3=504`

Therefore, there are
`^9P_3=504` ways the positions can be filled because the order in which the applicants are chosen matters.

Hence, the correct option is C.