If the only message Pasquale left is the fifth message, then which one of the following could be true?

jonah-Mead-Vancort August 11, 2019

I am confused

for question five, if p is 5, doesn't t need to be 6 since the rule (5) says P>T? also, I see why answer (c) is right but why is the answer (e) wrong?

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Irina August 12, 2019

@jonah-Mead-Vancort,

It depends - P>T condition applies only if F left any messages. Since it is possible to come up with a valid order where G & F left no messages, e.g. T H H H P L - it is possible that T is not #6.

Let's consider (E) - F left 3d and 4th messages:

H F F P L
__ __ __ __ __ __
1 2 3 4 5 6

Per rule (5), we know that F -> P & T, P > T, but we have no space to fit T because it must go to #6 and that is also the only spot that L could go in because L must come after H and H cannot be #1 per rule (1). Thus, (E) cannot be true.

Does that make sense?

Let me know if you have any further questions.