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Set Theorymedium
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Let A={1}A = \{1\}A={1} and B={2}B = \{2\}B={2}. Determine the set difference P(A∪B)∖(P(A)∪P(B))\mathcal{P}(A \cup B) \setminus (\mathcal{P}(A) \cup \mathcal{P}(B))P(A∪B)∖(P(A)∪P(B)), where P(S)\mathcal{P}(S)P(S) denotes the power set of SSS.