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.

The situation which is best described there is 9P3 = 504 ways the positions can be filled with order matters so option (C) will be correct.

What are permutation and combination?

Combination and permutation are two alternative strategies in mathematics to break up a collection of components into groups. This subset's components can be listed in any order when concatenated. The components of the subgroup are listed in a permutation in a particular order.

npr = factorial n/ factorial (n -r)

Given that,

Number of applicants = 9

Number of jobs = 3

Since the jobs are certain to the applicant so the order will matter.

Number of ways to choose 3 people among 9 jobs

9p3 = factorial 9/factorial (9 -3)

9p3 = 9 × 8 × 7 × factorial 6/factorial 6

9p3 = 504

So there will be a total of 504 ways to feel the position such that order will also matter.

To learn more about permutation and combination

https://brainly.com/question/13387529

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