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

A universal set \( U \) consists of 17 elements. If sets \( A, B \), and \( C \) are proper subsots of \( U \) and \( n(U)=17, n(A \cap B)=n(A \cap C)=n(B) C)=9 \) a \( A \cap(A \cap B \) \( C)=6 \), and \( n(A \cup B \cup C)=15 \), determine each of the following. a) \( n(\mathrm{~A} \cup \mathrm{B}) \) b) \( n\left(A^{*} \cup C\right) \) c) \( n(A \cap B) \) ?