Subjects Music M, Drama D and Geography G:

(a(i)) How many study Music? [1]

(a(ii)) How many study exactly two subjects? [1]

(a(iii)) Two students are chosen without replacement from Drama. Find the probability both study Music. [3]

(a(iv)) Shade \(M\cap D^{\prime}\). [1]

\(\mathcal E=\{1,2,\ldots,10\},\quad A=\{x:x\text{ is even}\},\quad4\in A\cap B,\quad n(A\cap B)=1,\quad(A\cup B)^{\prime}=\{1,7,9\}\).

(b(i)) Complete the Venn diagram. [4]

(b(ii)) Write B as a set. [1]