(Solved): A universal set \( U \) consists of 17 elements. If sets \( A, B \), and \( C \) are proper subsets ...

A universal set \( U \) consists of 17 elements. If sets \( A, B \), and \( C \) are proper subsets of \( U \) and \( n(U)=17, n(A \cap B)=n(A \cap \) \( C)=n(B \cap C)=7, n(A \cap B \cap C)=4 \), and \( n(A \cup B \cup C)=13 \), determine each of the following. a) \( n(A \cup B) \) b) \( \cap\left(A^{\prime} \cup C\right) \) c) \( n(A \cap B)^{\prime} \) a) \( n(A \cup B)= \) (Simplify your answer.) b) \( n\left(\mathrm{~A}^{\prime} \cup \mathrm{C}\right)= \) (Simplify your answer.) c) \( n(A \cap B)^{\prime}= \)