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A company interviewed 5 applicants each for the posts of the Director

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Senior Manager
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Joined: 18 Feb 2019
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Location: India
GMAT 1: 490 Q47 V13
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A company interviewed 5 applicants each for the posts of the Director  [#permalink]

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New post 14 Apr 2019, 07:30
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A
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Difficulty:

  85% (hard)

Question Stats:

33% (02:45) correct 67% (02:21) wrong based on 24 sessions

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A company interviewed 5 applicants each for the posts of the Director and the President. If Jack and Jill were the only applicants who were interviewed for both the posts and an applicant can be selected for only one of the posts, what is the number of ways in which the company can select its Director and President from the interviewed applicants?

A. 20
B. 23
C. 25
D. 27
E. 35
Intern
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Joined: 10 Sep 2015
Posts: 1
Concentration: Other, Technology
WE: Programming (Computer Software)
Re: A company interviewed 5 applicants each for the posts of the Director  [#permalink]

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New post 14 Apr 2019, 11:27
1
My Understanding is as such :-
Applicants for D - 3 +2 (Jack and Jill)
Applicants for P - 3 +2 (Jack and Jill)

If Jack/Jill is not selected as D, then D has 3 choices, and P has 5 choices.
Therefore, no. of choices = 3*5

If Jack/Jill is selected as D, P has 4 choices.
Therefore no. of choices = 2*4

So, total number of ways for selection = 3 *5 + 2*4 = 15+8 = 23

Let me know if this seems correct
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Joined: 17 Mar 2018
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Re: A company interviewed 5 applicants each for the posts of the Director  [#permalink]

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New post 15 Apr 2019, 19:21
If Jack/Jill is not selected as D, then D has 3 choices, and P has 5 choices.
Therefore, no. of choices = 3*5

But is this not possible in 2 different ways? Like, if Jack/Jill is selected as D, then we have 3*5 choices. But the other way - if Jack/Jill is selected as P, we again have 3*5 choices. Right??
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Re: A company interviewed 5 applicants each for the posts of the Director   [#permalink] 15 Apr 2019, 19:21
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A company interviewed 5 applicants each for the posts of the Director

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