Higher June 2018 Paper 2R Q15

EdexcelHigherCurrent spec3 marksSets

15 The Venn diagram shows a universal set, \(\mathscr{E}\), and sets \(A\), \(B\) and \(C\).

Venn diagram: three circles A, B and C in a row inside the universal set; A only 7, A and B 3, B only 8, B and C 1, C only 4, and 9 outside all the circles; A and C do not overlap

7, 3, 8, 1, 4 and 9 represent the numbers of elements.

Find

(i) \(n(A \cup B)\)
(ii) \(n(A' \cap C)\)
(iii) \(n(A' \cup B')\)

(3)