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1. Let n 2 3 be an integer and let S be a set consisting of n elements. How many ordered triples (A, B, C)

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1. Let n 2 3 be an integer and let S be a set consisting of n elements. How many ordered triples (A, B, C) are there for which A C S, B CS, CCS, and A, B, and C are pairwise disjoint? (a) 2 (b) 3 (c) 4n (d) 5

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