(a) On each of the Venn diagrams shown, shade the region which represents the given set.

(b) In a group of students, each student studies at most two of art, music and design. No student studies both music and design.

\(A\) denotes the set of students who study art, \(M\) denotes the set of students who study music, and \(D\) denotes the set of students who study design.

(i) Write the following using set notation: No student studies both music and design.

There are \(100\) students in the group. \(39\) students study art, \(45\) study music and \(36\) study design. \(12\) students study both art and music. \(25\) students study both art and design.

(ii) Complete the Venn diagram below to represent this information and hence find the number of students in the group who do not study any of these subjects.