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Explanation

We need to find the answer that makes this same mistake as done in the argument above.

(A) This is about fooling people at different times, not a “same time” composition fallacy. No fallacy of possibility distribution across a group simultaneously.

(B) It means ach candidate appears qualified so we shouldn’t rule out any without examination. That’s not claiming all can be chosen simultaneously. No composition fallacy.

(C) “Each nominee could be appointed to any one of the three openings” meaning any nominee could fill any slot. Then concludes “it is possible for all nominees to be appointed to the openings.” But if there are many nominees and only three openings, then not all nominees can be appointed at once. This again commits the fallacy: “each could possibly get a spot” it fallaciously infers “all could possibly be appointed simultaneously,” ignoring the limited openings. Keep this one.

(D) This confuses probabilities, each toss has 1/2 chances of heads, so chance of all 5 heads is (1/2)^5, not 1/2.

(E) This argues that to rule out life elsewhere, we’d need to explore all planets. That’s about evidence and possibility of life, not the “all members could have X at once” fallacy.

Answer: C
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