PT 57 Game 4 #21 Forum

[KylieMorrison]

I am confused about what exactly this question is asking. If exactly 2 grants are awarded in just one of the 4 quarters then which one could be true? Is it wanting T and Y to be together in 1 quarter or T and Y to be the only ones in a quarter?

Could you not do:
T M Y M
W W
1 2 3 4

That would mean T and Y are awarded in 1 quarter each and that makes C possible.
If someone could clear this up I would appreaciate it. Thanks.

[Cromartie]

Look at your example. 2 grants are awarded in 2 quarters (Q1 and Q2), which violates the requirement. You have to come up with a 2-1-1-1 (in no particular order) distribution that complies with all the other rules.

[KylieMorrison]

Hmmm I guess I'm still confused. Even if 2 grants are awarded in 2 quarters there are still 2 grants awarded in 1 quarter. I just think I'm not understand what the question is asking. When it is saying 2 grants awarded in just one quarter is it saying that only 1 quarter can have 2 grants or at least 2 of the grants can only be in one quarter?

[Cromartie]

Hmmm I guess I'm still confused. Even if 2 grants are awarded in 2 quarters there are still 2 grants awarded in 1 quarter. I just think I'm not understand what the question is asking. When it is saying 2 grants awarded in just one quarter is it saying that only 1 quarter can have 2 grants or at least 2 of the grants can only be in one quarter?

Only 1 of the 4 quarters has exactly 2 grants. None of the other quarters can have exactly 2 grants. Hence, the other quarters must have either 1 or more than 2 (i.e., 3 or 4) grants. Having 3 or 4 grants in another quarter will lead to a violation of the general condition that there are at most 6 grants awarded in the year (2+3+1+1 = 7). Hence, all the other 3 quarters must have only 1 grant each, which leads to the 2-1-1-1 distribution.

Hope that makes sense.

[KylieMorrison]

Yeah I understand now. I was making it way more difficult than it really was. Thank you!