dtemple2 Wrote:I am having a hard time understanding #2 . Why can't you replace F with K? That would make the Planting Committee K,J,H,L,M and the Trails G,H,J. Each has at least 3 members, F is not with K, K is with J, M is on at least one committee and the two committees share at least one member.
Also, in your diagram you indicate that no more than 5 members can be in a committee. However even question #5 shows that you can have up to 6 members in a committee.
Pleas help!
In regards to the diagram, you are correct in your concerns. I would say that the diagram is inaccurate.
In regards to #2, the problem you are having appears to be with the question wording itself. The hypothetical you pose of "K,J,H,L,M" as the planting group would not match the group you were given in the question stem.
We are told that these are the groups:
P: FHLM
T: GHJ
You could not plug in K anywhere in the planting group. Doing so would violate the K ---> J rule. We are asked that K could replace which one of the variables in the two groups without violating any rules. Attempting to replace F with K would be impossible without also putting J in there, which is not the setup.
So since we cannot have K replace anyone in the top group, that removes FLM. I keep H in mind for the bottom because it is still a contender at first consideration until we realize that at least 1 of 2 things will occur:
1) You remove the common variable in the two groups.
2) You place a K in the planting group without the J being present.
So we now have FHLM gone from consideration. G is the only one left. We can easily replace it with K. We already have a J there. The common variable still remains.