What is the maximum number of members on the finance committee?

Meredith on October 28 at 05:51PM

Timing

How do you approach this problem in a quick fashion?

1 Reply

Irina on October 29 at 12:44AM

@Meredith,

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.