4MA0 Higher January 2017 Paper 3 Q21

EdexcelHigherOld spec3 marksSets

21 The Venn diagram shows a universal set \(\mathscr{E}\) and sets \(A\), \(B\) and \(C\), where 6, 3, 7, 5, 2, 9, 4 and 8 represent numbers of elements.

Venn diagram of three overlapping sets A, B and C: A only 6, A and B only 3, B only 7, A and C only 5, all three 2, B and C only 9, C only 8, outside all sets 4
(a) Find \(\;\mathrm{n}(A \cup B)'\) (1)
(b) Find \(\;\mathrm{n}((A \cup C)' \cap B)\) (1)
(c) On the Venn diagram, shade the region that represents the set \(\;(A \cup B) \cap C\) (1)
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