As part of the initial setup, we can see that there are a couple of possible scenarios with one of them having 4 members on the finance committee and the other - 3, so at most we could have four.
It is an in/out game, so for the initial setup, we can make the following inferences to maximize the number of members on the F committee:
W/Z must be on different committees U/G must be on different committees
If Z is on F, so is H - thus G must be on I If L is on F then M and U must be on I, since in this scenario U is on F, L must be on I, but M could go either way, thus M could be the fourth member of the F committee.
F: U Z H M I: G W L
Let me know if this makes sense and if you have any other questions about the setup.
