# 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.

Numberof 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.

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Step-by-step explanation:

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