The committee must include at least one representative from which one of the following pairs?

Scottmorse10 August 6, 2019

Tables

When answering some of these questions I dont need to draw out the full table of in and out and this is due to the practice and timing ive developed from this course but then how should I go about answering questions like #8 where I need to look back at all tables?

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Ravi August 6, 2019

@Scottmorse10,

Great question. This is a tough question, but you don't actually have
to look at all of the tables. What you can do instead is check each
answer choice by putting its representatives in the 'out' group. If
the table works with those representatives out, then you know that's
not the right answer, since we're looking for the answer that shows
the pair that includes at least one representative that must be
included in the committee.

With (A), if F and P are out, there are no issues, so it's out.

With (B), if G and J are out, then there are no issues, so this pair
doesn't have to be in.

With (C), if K and Q are out, then we also know that G and F must be
out (since if Q is out, F is out and if K is out, G is out). This
definitely doesn't work with the board where there are 3 tenants in
and 2 homeowners in since K, G, and F are all tenants and would go out
in this scenario, leaving there only 2 tenants in.

With the board where there are 2 tenants and 3 homeowners in, we could
have K, F, and G all out. However, this means that J and M would both
be in, and if J and M are both in, then P must be out. But Q is
already out, this there's not enough for both Q and P to be out since
they're both homeowners and this game board has 3 homeowners who are
in and 1 who is out. Thus, (C) is the correct answer, as we know that
both K and Q cannot be out, so at least one of them must be a
representative on the committee.

Does this make sense? Let us know if you have any more questions!

Scottmorse10 August 12, 2019

This does make sense im just concerned with the time that could possibly take me

shunhe January 7, 2020

Hi @Scottmorse10,

So where going back and looking at all your tables helps is if some of your hypotheticals don't have at least one of the following pairs. This shouldn't take too much time - just keep your notes organized and glance back, and this will help you eliminate one or two of the answer choices. Then, you can use Ravi's method on the rest. Hope this helps!

May 28, 2020

This question is very confusing because unless I missed something FP could have also been correct. I've missed something.