- PowerScore Staff
- Posts: 471
- Joined: Mar 10, 2017
You are completely correct that we can manage to order S, Y, and Q in spots one, two, and three, respectively, without violating directly violating any rules. Our diagram should look something like this:
N W N __ __ __ __
S Y Q __ __ __ __
1 2 3
The difficulty comes in when we think about what happens in the remaining four spaces. Since we just placed S, Y, and Q we are left with R, which is a nutrition article, and G, H, and J which are all Finance articles.
This means that in spaces four to seven we need to fit three finance articles. Since the first rule told us that we cannot place any of them consecutively, we will end up violating some rule.
For example, we can place a finance article in space four and R, a Nutrition article, in space five. Our game board would look something like this:
N W N F N __ __
S Y Q J R __ __
1 2 3 4 5
Now we have two finance articles left for the last two spaces. This is not allowed. Furthermore, doing this would end up violating the rule that states that G must appear earlier than R.
To recap, placing S, Y, and Q in the first three spaces would not directly violate any rule in those first three spaces. Doing so would force the remaining four spaces to violate multiple rules. Remember to think about how one variable could impact the entire diagram.
Let us know if this helps!