# If no segment of the path directly connects any chalet in row 1 with the chalet in row 2 that is directly opposite it...

erica-scott on December 28, 2020

How can B be the answer without E also being false????

If E must be true and Chalet O is connected two exactly two other Chalets, it would have to be connected to K and N since they cannot go directly across for this question and we know that J and N & M and N are already connected. If B doesn't have to be true, then there is no way that E must always be true?? This makes no sense - can someone please explain this to me.

Replies

on January 1, 2021

Erica,

I was also stumped on this one for a few minutes until the answer finally hit me. B is the answer because we know from the prompt that N is connected to J. We also know that M must be connected to N for this situation since M cannot connect to J since its directly across from it. This automatically means that N cannot connect to any other pieces since the prompt states each can only connect to two other pieces at most.

E is not false because O is connected to both K diagonally and also J diagonally. If you draw this out, you'll see that those two lines do not actually intersect, they just both meet at O.

I hope this helps as I spent a couple minutes on this question trying to figure out what I was overthinking.

shunhe on January 5, 2021

Hi @erica-scott,

Thanks for the question! Well, we know that no direct opposites are connected. That means M can’t be connected with J, so we’ll connect it with N. Then O gets connected to J and K. And so nothing connects N and O, which is (B). O is connected to two other chalets, but not N, so (E) is still true but (B) is false.

Hope this helps! Feel free to ask any other questions that you might have.