Which of these symbolic translations represents the following argument? If Berni

Question

Which of these symbolic translations represents the following argument? If Bernice takes a cruise then both Alfred and Chuck will go with her on the cruise. If Alfred goes on the cruise with Bernice, then Donna will go on the cruise. Chuck goes on the cruise with Bernice only if Donna will go on the cruise, but Donna will not go on the cruise. So, Bernice will not take a cruise. Donna goes Let B = Bernice takes a cruise, A= Alfred goes with Bernice on the cruise, C = Chuck goes with Bernice on the cruise, and D on the cruise.

Explanation / Answer

If Bernice(B) takes a cruise, both Alfred (A) and Chuck (C) would accompany her on the cruise, B (A . C). However, if Alfred would go on the cruise then only Donna (D) will go on the cruise. Donna going on the cruise is dependent on Alfred tagging along, (D dependent on A). Chuck will go on the cruise if Donna goes. ( C dependent on D). Since Donna will not go on the cruise, Bernice will not take the cruise. ( D / B)

The answer to the above question is option D.

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