4MA0 Higher June 2013 Paper 4 Q20

EdexcelHigherOld spec4 marksSets

20 The Venn diagram shows a universal set \(\mathscr{E}\) and 3 sets \(A\), \(B\) and \(C\).

Venn diagram: A only 2, A and C only 4, C only 7, B and C only 3, B only 6, outside 10

2, 4, 7, 3, 6 and 10 represent numbers of elements.

Find

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

(4)

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