Game Setup
This is a grouping game. It looks a little uncertain, because we don’t know how many people are going to be in.
But it’s not that difficult. Three variables don’t have any rules!
Each committee needs at least three people (this only comes up in the first question.)
We know that F can’t be with K.
And K needs J. So if there is no J, there is no K.
K is the most restricted variable: it has two rules. Some of the other variables don’t have any. H, G and L are all random. I always circle random variables.
And the last variable is M. It has to be in somewhere. I represented that by putting a box around it but you can do it however you choose. This isn’t a standard type of rule.
Lastly, the two committees must have at least one person in common. That’s easy because of all the random variables. There is no limit to how many people you can have on the committee as long as you have at least three.
We can’t do any elaborate setup. Remember that each committee needs someone in common. Then just make sure you’re clear with the two main rules, and apply them to each question.
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