Question
For $A=\{1,2,3\}$, let $B$ be the set of 2-element sets belonging to $\mathcal{P}(A)$ and let $C$ be the set consisting of the sets that are the intersections of two distinct elements of $B$. Determine $D=\mathcal{P}(C)$.
Step 1
The set \( A = \{1, 2, 3\} \) has a power set given by: \[ \mathcal{P}(A) = \{\emptyset, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{1, 3\}, \{2, 3\}, \{1, 2, 3\}\} \] Show more…
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