Which one of the following must be true?

Kuma on September 6, 2018

Game setup

Can you please post a set up for this game

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Max-Youngquist on September 7, 2018

@kuma this is actually a game I would NOT setup a diagram for. I would spend some time thinking about what we know must be true for each person / office.

We know that the EARLIEST round each person would pick a given office is described by their preference order.

Now let's compare that to the LATEST round a given office will be available. For example, for office Y, we know the latest it will be available is round 3. Listing out all the offices latest rounds:

W: 4
X: 2
Y: 3
Z: 3

Comparing the preference orders to the latest round a given office will be available gives us the list of offices that each person will never choose (i.e. earliest round chosen > latest round available):

J: None
L: Y (4 > 3)
P: X (3 > 2)
T: None

We can then use this to answer Must be True questions - for example this answer is (E). If the question gave us more information with an "If.." statement, we would want to update our earliest chosen / latest available #'s accordingly to accommodate the new information.

I hope that helps!

Kuma on September 7, 2018

It did, thanks