Why not F?

Started by Anevay · started 2019-12-26 23:57 · last activity 2019-12-28 22:19 · 3 replies

Why can't F be replaced by K? I understand why the answer is G, but I also thought it could be F.

Replies

  1. Skylar · 2019-12-27 04:57

    @Anevay, happy to help. F cannot be replaced by K because of our third rule, which says "If K is on a committee, J must also be on that committee," or K -> J. If we were to replace F with K, the planting committee would consist of K, H, L, M. This would violate Rule #3 because we have K on a committee without J. Does that make sense? Let us know if you have any other questions and best of luck with your studies!
  2. Anevay · 2019-12-27 21:07

    Yes, thank you! I guess I was not applying the rules both ways and thought J could be on a committee without K.
  3. Skylar · 2019-12-28 22:19

    @Anevay, I'm glad that makes more sense! Just to clarify, J can be on a committee without K (as is the case in the original trails committee we were given in this question). The rule "If K is on a committee, J must also be on that committee" is written as K -> J and the contrapositive is NOT J -> NOT K. Since J is never the Sufficient condition, it can exist on a committee without K. However, K cannot exist on a committee without J, which is why (A) is incorrect.

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