(a) Using set notation, write down the set represented by the shaded region in the Venn diagram.

(b) The universal set is \(\mathcal E=\{1,2,3,4,5,6,7,8,9,10\}\).

\(A=\{x:x\text{ is a prime number}\}\), \(B=\{x:x\text{ is an even number}\}\), and \(C=\{1,2,3,4,8\}\).

(i) Complete the Venn diagram to show the elements of each set.

(ii) Write down the value of \(n((A\cup B\cup C)')\).