Whenever a question gives you a new rule, you should draw a new diagram that uses that rule.
O is the only main course. That means the other main courses are out (N and P):
Since P is out, W must be out too (rule 3):
All three out spaces are full. That means every other variable is in:
Once again, we’ve done too much work. But I wanted to walk you through all the deductions that are possible.
Since P is out, W can’t be selected. E is CORRECT.
A small note on how to fill in the final diagram. It’s helpful to have a default way to fill in variables, so you don’t get stuck wondering who goes where.
If I’m filling in the listed D, M and S spots, I just go with the hot foods, F, N and T. There’s no reason not to put them there.
So if I’m trying to build a scenario, I will fill it with F, N and T unless there is some reason to use other variables.
In this case, I did F, O and T because the question told us to put in O for the main course.
This meant that when filling in all five variables, I automatically filled in F and T. Then I stopped to consider which variables remained, and filled in G and V.
With a default order to fill things in, you can create diagrams much faster. Obviously, your default order must obey all the rules.
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