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Set Theorymedium
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Let A={1,2,3,4,5}A = \{1, 2, 3, 4, 5\}A={1,2,3,4,5}. Determine the number of ordered pairs (X,Y)(X, Y)(X,Y) such that X⊆AX \subseteq AX⊆A, Y⊆AY \subseteq AY⊆A, and X∩Y=∅X \cap Y = \emptysetX∩Y=∅.