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Set Theoryhard
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Let S={1,2,3,4,5,6}S = \{1, 2, 3, 4, 5, 6\}S={1,2,3,4,5,6}. How many subsets AAA of SSS have the property that ∣A∪{1,2}∣|A \cup \{1,2\}|∣A∪{1,2}∣ is an even number?