Hi Roger,
Sure thing! I am going to give you an idea of how to set up the game and some of the inferences then I suggest that you go back and try to set up the game again and retry the game. That way, you can get the practice and hopefully figure out where maybe something was missing!
First off, this is a grouping game. Our main concern here is going to be which subzones are allowed in each development zone.
First thing to note, no more than three subzones can be designated for each of the three uses.
The three groups are:
Z1:
Z2:
Z3:
The first rule says that no retail (R) is allowed in Z1. I'd diagram it like:
R
Z1
Second rule is going to be key and I would diagram the rule with HHH in a box with a "not" line through it. Basically, the idea is that you can have at MOST, two Hs. Since we know that three is the maximum number of subzones, we can have either one H or two Hs but NOT three Hs in a residential zone.
Third Rule: if H
at most, 1 R
Fourth Rule: I would have to diagrams. First H
I. Second, RRR
I. This is another key rule.
So now you can make some inferences. The main unknown in the game so far is how many subzones per development zone. You can make the following inferences along those lines:
If H is one of the subzones, at most you can have three subzones in the zone (HHR). Rule #2 says the maximum number of Hs is 2. Rule #4 says H cannot be with I. And Rule #3 says that if you have H, you can have at most 1 R.
We know that once we put an H in the equation, we are going to have fewer numbers so we need to proceed with the maximum number of variables in each group ignoring Hs.
If R is one of the subzones, you can have a maximum of five subzones in the zone (RRIII). We cannot have three Rs because then we could have no Is. But we can have two Rs and three Is without a problem.
If I is one of the subzones, you can, again, have a maximum of five subzones in the zone (RRIII) for the same reasons listed above.
So from that, we can conclude that the maximum number of subzones is 5.
Why don't you start with that? Go ahead and diagram that out and tackle the game again. That might raise specific questions so let me know if they come up when you finish the game!