- Thu Nov 30, 2017 11:51 am
#42019
Hi mattnj,
This one actually does not have many inferences. Rather, there are only a relatively small number of possibilities of how the variables could be arranged.
To answer your question, it appears the only inference one can make at the outset is that both G and H must be with either R/S.
We know that all of the variables (Witnesses: F, G, H, I; Interviewers: Q, R, S) are used. Since there are 3 interviewers to 4 witnesses, this means that 1, and only 1, interviewer will interview 2 people. Since we have a rule that both G and H will be interviewed by the same person, we can infer that the 1 interviewer who interviews 2 people interviews both G and H. We can then consider who this 1 interviewer is--Q, R, or S. We know from the rules that Q interviews F, so we can eliminate Q (if Q interviewed F, G, and H, that means all of the interviewers couldn't interview, which violates the rules). That leaves us with only possibility left--that G and H must both be interviewed by R, or instead must both be interviewed by S.
Given that there are only relatively few options of the possibilities, this might initially seem like a game where you could diagram all the possibilities at the outset. However, in the end, it appears that there are too few rules, and too few connections between the variables, for that to be useful. Rather, this is a type of game that will require you to work from not many inferences and rather take each question on an individual basis, applying the game's rules to the new information given in the question.