# Which one of the following pairs is an artist and musician who CANNOT be scheduled for the same week as each other?

kjellhenness on November 26, 2019

Set up

Could you teach me the best way to set this game up?

Irina on November 27, 2019

@klellhenness,

Happy to help. The game requires us to determine the order of five exhibitions - J K L N O and five performances - T V W Y Z.

A: __ __ __ __ __
M: __ __ __ __ __
1 2 3 4 5

The following rules apply:

(1) J exhibit is earlier than K, and K is earlier than L.

This rule tells us we have the following chain: J - K - L. We can thus infer that J cannot be #5 or #4, K cannot be #5 or #1, and L cannot be #1 or #2.

(2) T performs earlier than V, who performs earlier than W.

This rule tells us we have the following musician chain - T - V- W. We can infer that T cannot be #4 or #5, V cannot be #1 or #5, and W cannot be #1 or #2.

(3) W does not perform in the 4th week.

A: __ __ __ __ __
~K ~L ~J ~J
~L ~K
M: __ __ __ __ __
~W ~W ~W ~T
~V ~T ~V

We can infer that W can only perform in weeks 3 or 5

A: __ __ __ __ __
~K ~L ~J ~J
~L ~K
M: __ __ __ __ __
/W /W
~V ~T ~V
~T

which means we have two possible scenarios for the order of musicians:

1. W performs 3d

This scenario allows us to conclude that T must perform 1st, and V second, and Y/Z could be 4th or 5th in either order.

T V W Y/Z

2. W performs 5th

This scenario allows for any order of T V Y Z as long as T is before V.

(4) Y does not perform at the N exhibition.
Y =/ N

(5) Z performs at the O exhibition.
Z=O

The question asks us which of the following pairs is an artist and a musician who cannot be scheduled for the same week as each other?

Since we have two chains - J - K -L and T -V - W but only five slots, it is not possible for L & T to overlap and still leave space for Z and O pair:

J K L _ _ <- no space for Z & O
_ _T V W

This, we can conclude that L & T cannot be scheduled for the same week (C)

Let me know if this makes sense and if you have any other questions.