Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^9\n(B) 2^11\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10 Let's think first. Stream of consciousness:
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Fix the third coin as H. The remaining 11 coins have 2^11 outcomes.
So, the answer is (B).
Assistant