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Set Theorymedium
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Consider the set S={1,2,{1,2},3}S = \{1, 2, \{1, 2\}, 3\}S={1,2,{1,2},3}. How many elements of the power set P(S)\mathcal{P}(S)P(S) are themselves subsets of {1,2,3}\{1, 2, 3\}{1,2,3}?