Which one of the following could be a complete and accurate list of the doctors that are at Souderton?

MatthewK May 6, 2022

Contradiction in the rules?

This isn't specifically related to this question, more just the rules overall. I’m a little confused about how rules 3-5 don’t contradict each other. Rule 3: Ls -> Nr and Pr. Rule 4: Nr -> Or Rule 5: Pr -> Ks and Os. So, hypothetically, let’s say we place L in S. This would result in both N and P being placed in R. Then, since N is placed in R, this would force O to be in R as well. But, if P is placed in R, then O (along with K), needs to be placed in S, even though O is already placed in R?

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Emil-Kunkin May 10, 2022

Hi MatthewK,

You are completely right that the conditional scenarios described in 3 and 5 are mutually exclusive. If (as we know from 3 and 4) L is at S, then we know that Nr and Pr, and Or.

We also know from the contrapositive of rule 5 that if Or -> Ps, so we actually have a deduction that if Ls ->Ps