Hi Dave,
I'm reviewing this test, and I'm struggling to understand why answer choice E isn't correct for this question.
I would really appreciate it if you could walk me through how to figure this out.
Thanks!
#10 Could be True
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Hi! This game is a little tricky, but let's see if we can walk through the setup first.
Basically, there are 6 messages, in order. Here's the spots and the distributions for that: FGHLPT(6) __.__.__.__.__.__ 1 2 3 4 5 6 Up to three of those have been made by one person, making 3 possible distributions: 3111, 21111, 111111. This means that at least 4 people must have left messages. When you string all of the rules together from the problem, you get something like this: G > F > PT P > HL The two strands can be connected at P to make a powerful superstrand, which can be followed backwards for its contrapositive. This is where you get an interesting inferenceif P is not included, you cannot have G, T or F. That is too many people to eliminate (there must be at least 4). Therefore, P must be included, AND T, H, and L must follow from P. For question 10, we are given a situation in which P must be 5th and asked what must be true. Looking at the rules, if P then T, H, and L. T must be after P, so we already have 2 placed: __.__.__.__ P T 1 2 3 4 5 6 H must be before L, so H would have to be in spaces 1, 2 or 3. But if H is in 1, then P must be in 6, which is already occupied by T. Therefore, H must be in 2 or 3, followed by L in either 3 or 4. __ H/ H/L L/ P T 1 2 3 4 5 6 Looking at the answer choices, the only one that could be true is that Liam left exactly two messagesone could be on both 3 and 4. Answer (E), that Fleure left the third and fourth messages, is not possible because one of those must be L. I hope that clears everything up for you!
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