Q18

[arash.ehteshami]

I don't really understand why D is wrong. I put it in both frames and it seems to work as well.

In either instance, both Ian and Victor get to see the H movie, what am I missing?

[timmydoeslsat]

This is my global diagram for this game:



It is important to note that from the onset of the game setup, without the rules that followed, it could have been possible for a movie to have been shown with no attendees. This possibility is precluded with the way the rules force our hand, but this kind of distinction is important with assignment games.

Question 18 is a local question that essentially gives us a three variables block of GVY and asks us what could be true. We know that G cannot go in H. We also know that H must have exactly twice as many people as F. Could F ever contain that three person block? No. This would cause the H row to carry six people, which would be a total of 9 people placed and that is more than we have available. Our only two options of numerial distribution in this game is a 1-2-4 or a 2-4-1. Since this block cannot go into H or F, it must go into K.

We have now placed three variables into K. To accomodate our 2X H>F rule, we must have a 1-2 distribution there, as a 2-4 would not be possible due to the dearth of variables. This will force us to place one more unknown variable into the K row.



We now have IMR left to place. We know that G and R cannot go together, this forces one of I/M there. The opposite of that dual option along with R can go into either of the slots available for H and F.



As we can see, (B) can be true. I can definitely see H.

[arash.ehteshami]

Ah, now I get what happened. Your explanation was very thorough and I realized that I missed to see that G cannot go into H because of the restriction set on it.

What can I say, rough day doing LR and LG yesterday! Thanks for the quick response!