4MA0 Higher January 2013 Paper 3 Q15

EdexcelHigherOld spec4 marksSets

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

Venn diagram: A only 7, A and B 6, B only 3, C inside B (and outside A) 2, outside 10

7, 6, 3, 2 and 10 represent the numbers of elements.

Find

(i) \(\mathrm{n}(A \cup B)\)
(ii) \(\mathrm{n}(A')\)
(iii) \(\mathrm{n}(B \cap C')\)
(iv) \(\mathrm{n}(A' \cup B')\)

(4)