Which one of the following could be a complete and accurate matching of the applicants with the departments in which ...

SamA on June 8, 2020

Hello @hjlz,

Absolutely!

Applicants: F G H I W X Y

Positions:

M: _
P: _ _ _
S: _ _ _

Feng is in production.

M: _
P: F _ _
S: _ _ _

Consider rule 1: H and Y are in the same department. There are only two possibilities for this, and I will use this rule to create two scenarios.

1.
M: _
P: F H Y
S: _ _ _

2.
M: _
P: F _ _
S: H Y _

Now, let's fill in our other rules.

Rule 3:
Xs ---> Wp
not Wp ---> not Xs

Take a look at diagram 1. It is impossible for W to be in production. Therefore, X cannot be in sales. This forces X into management, which fills every spot.

1.
M: X
P: F H Y
S: I W G

Diagram 2 still contains some uncertainty, but we know that G cannot be in production. It must be in either management or sales.

2.
M: G/
P: F _ _
S: H Y G/

We are unsure of I, X, and W, but that is ok for now. Every single possibility in this game can be represented by one of those two diagrams. We have made enough inferences to proceed to the questions.