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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.

Respuesta :

Answer:

Option C.

Step-by-step 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

[tex]^9P_3=\dfrac{9!}{(9-3)!}[/tex]

[tex]^9P_3=\dfrac{9\times 8\times 7\times 6!}{6!}[/tex]

[tex]^9P_3=9\times 8\times 7[/tex]

[tex]^9P_3=504[/tex]

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

Hence, the correct option is C.

Answer:

C.

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

Step-by-step explanation:

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