- Mon Aug 24, 2020 10:59 pm
#78376
Hi Olivia!
For a question like this, you are looking for a condition in an answer choice that will cause everything else to fall into place. You can try out answer choices by diagramming the condition in the answer choice and seeing what else must be true based on your rules. For answer choice (D), if you put P into Friday, what else must be true? It must be true that M cannot be on Friday (since there isn't room for L to be with it). But then you're kind of stuck. It seems like either L or Q could be in Friday. And you have no idea which of the volunteers is only going to be used once (since no volunteer can work all 3 days, the numerical distribution of days to volunteers is 2-2-2-2-1). So placing P on Friday doesn't completely determine the assignment of volunteers. There are still too many possibilities.
But if you place M on Friday, then you know that L must also go on Friday. Now Friday is full. Since P can't go on Saturday, P can only go on Thursday and it is, therefore, the only volunteer that is used just once. All other volunteers must go on 2 days. So Q has to go on both Thursday and Saturday. Since there's only one slot left on Thursday, M can't go there (since there's no room for L to be with it). So instead M has to go on Saturday and L has to be there as well. That just leaves N in the 3rd slot on Thursday. Placing M on Friday has completely determined the assignment of volunteers. There is only one possible arrangement of the volunteers if M is on Friday.
Hope this helps!
Best,
Kelsey