(2) If H is scheduled on M, then N is scheduled on F
H(M) -> N(F)
(3) if N is scheduled on T, I is scheduled on M
N(T) -> I(M)
(4) K is scheduled for the next day after V
VK
We are asked to determine which of the following could be true if K is scheduled for W. Let's diagram this condition: K __ __ __ __ __ M T W Th F ~N
Per rule (4), we know that V must be scheduled for T V K __ __ __ __ __ M T W Th F ~N
Per rule (1), the only remaining contestants that could go on M are H or I. Let's consider these two options:
Option 1 - H is on M
H V K I N __ __ __ __ __ M T W Th F ~N
Per rule (2) if H is on M, then N is on F, and the only day left for I is Th.
Now let's look at Option 2 - I is on M
I V K H/N H/N __ __ __ __ __ M T W Th F ~N
Since there are no rules that restrict the placement of H & N when I is on M, it means we could have H on Th and N on F or alternatively, N on Th and H on F - and that is exactly the scenario described in answer choice (C).
Does this make sense? Let me know if you have any other questions.
