Ononot — Consider the set \mathcal{F} = \{A \subseteq \{1, 2, 3, 4\}

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Set Theoryhard

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Consider the set $\mathcal{F} = \{A \subseteq \{1, 2, 3, 4\} : |A| = 2\}$ . How many elements are in the union of all sets in $\mathcal{F}$ ?