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

MEIXOXT August 2, 2017

Question 10

In question 10 from the video, Hildy isn't allowed to go first but was written in the first position. I was wondering if that changed anything for the answer.

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Mehran August 4, 2017

@MEIXOXT thanks for your message but I am not sure I am understanding your question here.

The hypothetical that proves (C) is correct here is:

F H L L P T

As you can see here, H is not first.

Hope that helps! Please let us know if you have any other questions.

Meckena-Hultin May 15, 2019

I had the same question. When disproving B in the video, H was in the first position which goes against the rules. Would you be able to clarify why B is incorrect? I understand why C is correct but if I can't eliminate B I
won't make it to C. Thank you!

Mariah-Bauguess August 7, 2019

I have the same question about B. It looks like while disproving B, there was a mistake or something wasn't clarified. Could you give clarification on the reasoning of why B is wrong?

Ravi August 7, 2019

@Meckena-Hultin and @Mariah-Bauguess,

Happy to help. You're both rightâ€”H can't go in 1 in this scenario
because there is only 1 P and it's in 5. If H is in 1, then there has
to be a P in 6, so (A) is out.

For (B), it helps if we refer back to the last few rules of the game.

Recall that

G - >F - >P - T

P - >H - L

So, if G is in, then F is in, and P and T are in, with P before T.

If P is in, then H and L are in, with H before L.

If we have exactly 2 Ts, then we are failing the P before T rule no
matter what since there is only one spot after T. If this rule is
failed, that means that both F and G are out (this is the
contrapositive of G - >F - >P - T)

/P - T - >/F - >/G

If F and G are both out, then we're kicking more than one message out,
so we wouldn't have enough messages to fill out the game board since
we know that (B) tells us that T is the person with more than one
message, so there are five people who left messages. Yet if T leaves
exactly two messages, it forces F and G out, so there's no way it
could be true that T left exactly two messages if the only message P
left is the 5th message.

Does this make sense? Let us know if you have any other questions!