If one of the cities contains exactly two hospitals and exactly one university, then which one of the following lists...

Mehran September 27, 2014

Thanks for your message. If one of the cities contains exactly two hospitals and exactly one university, this city must be either 2 or 3 since our Us have to be in 2 and 3.

So one possibility would be as follows:

1:
2: U
3: UHH
4:
5:
6: JH

All that is left is one J and one H and we know from rule #2 and rule #4 that wherever we place the last J, the last H will follow.

J cannot be in 2, 3 or 6 so it must be in 1, 4 or 5. H will join J in either 1, 4 or 5.

The other possibility is to place UHH in 2 as follows:

1:
2: UHH
3: U
4:
5:
6: JH

Again, J cannot be in 2, 3 or 6 so it must be in 1, 4 or 5. H will join J in either 1, 4 or 5.

For this reason, (B) is not possible.

However, you will notice that in our second scenario with UHH in 2, we could have JH in 4 and have 1, 3 and 5 not have a H as follows:

1:
2: UHH
3: U
4: JH
5:
6: JH

Hope this helps! Please let us know if you have any other questions.

Michaelchueroa March 3, 2019

Can I have the video for this question explanation, please.

Ravi March 9, 2019

@Michaelchueroa, I've sent your request for a video explanation for this question/game to our video-making team. In the meantime, if you'd like any written explanations, please let us know!

Gabby_teixeira April 17, 2020

Hello, looks like it's been over a year, where's this video explanation?

ShawnHill February 18, 2021

Hello, I would also like to request a video explanation for this question. I am still confused after reading the explanations and a video would definitely be appreciated.