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In the meantime, please see below for a written explanation for the setup and the first question.
The game involves a prosecutors office interviewing 4 witnesses - F G H I over a four day period. Each witness will be interviewed by exactly one of three investigators- Q R S - and each investigator will interview at least one witness. The game then requires us to match witnesses to investigators and days.
I: W: ___ ___ ___ ___ 1 2 3 4
The following rules apply:
(1) G & H must be interviewed by the same investigator:
G(i)= H(i)
(2) G & I cannot be interviewed on consecutive days.
~GI ~IG
This rule tells that G & I must go on either days 1 & 3, 2 & 4, or 1 & 4.
(3) Q must interview F Q -> F
This rule allows us to infer that Q does not interview G & H because if Q interviews F G H, there is only one person left to interview - I - but two more investigators, and the game tells us that every investigator must interview at least one witness. Hence, we can conclude that no investigator can interview more than 2 witnesses. 2 - 1 -1 is the only possible scenario of witnesses per investigator.
G& H must then be interviewed either by R or S.
(4) R must conduct the 3d interview.
I: R W: ___ ___ ___ ___ 1 2 3 4
This is an optional step, but since we know R must interview either G & H or I, we could illustrate one of the most restrictive scenarios, where R interviews I:
I: S /S/Q R S/Q W: G /H/F I /H/F 1 2 3 4
Then S must interview G on day 1 per rule (2), and H/F could be interviewed on days 2 and 4.
Let's summarize all the inferences:
I: R W: ___ ___ ___ ___ 1 2 3 4
R/S: G & H R/S: I Q: F
~(GI v IG)
The question asks us which of the following could be the schedule of the interviews?
(A) Q: I, R:H
Incorrect, per rule (3), Q must interview F.
(B) Q:F, S: I, R: G, R:H
Incorrect, this schedule violates rue (2), we cannot have GI/ IG sequence
(C) R:I, Q:F, R:G, S:H
Incorrect, G & H must be interviewed by the same person per rule (1).
(D) S:G, S:H, Q:F
Incorrect, R must conduct the interview on day 3 per rule (4).
(E) S: I, Q:F, R:H, R:G
Correct. This schedule complies with all the rules.
Let me know if this makes sense and if you have any further questions.
