Question: If \(U=\left\{ 1,2,3,4,5,6,7,8 \right\}\) and if \(A=\left\{ 1,2,3,4,5 \right\}\), \(B=\left\{ 2,3,6 \right\}\) and \(C=\left\{ 2,3,5,6 \right\}\), find

(a) \(\left( B\cup \left( \bar{B}\cap A \right) \right)\cap \left( A\cap \bar{A} \right)\)

(b) \(\left( A\cap B \right)\cup \overline{\left( B\cup \bar{C} \right)}\)

(c) Write all the subsets of C