Q23

[andyevans000]

So I can come to C by eliminating A,B,D, and E (reusing information in my #18 and #21 answers), but can't articulate why C is right.

Can someone explain why C is the correct answer?

Thanks!

[cyruswhittaker]

If N is selected, then , we can't have the following

1) can't have F (F requires O, but only one diet allowed, which is already being filled by N)

2) can't have V (By the last rule, V requires as a necessary condition both H and M. Since if N is prescribed, M cannot be prescribed, by the contrapositive of the last rule, V cannot be prescribed if N is prescribed).

What we have remaining to choose from:

antibiotic: G, H
physical therapy: U, W

Since five MUST be selected, all four of those must be selected. But this creates a problem because we have U and N that must be selected, but by the second-to-last rule, that would mean that G cannot be prescribed.

So, we'd only be left with four treatments possible to select if N is prescribed, a clear violation of the "exactly five" requirement.

This game is interesting in that it combines conditional rules, with subgroups, subgroup restrictions (leading to a lot more conditional rules), and a defined group size.

[noah]

That looks good. I'm going to go with Cyrus on this unless someone tells me that they see an error with that explanation!