Higher June 2021 Paper 1 Q19

EdexcelHigherCurrent spec3 marksSets

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

Venn diagram of three overlapping circles A, B and C: A only 12, A and B only 5, B only 9, A and C only 10, all three 6, B and C only 3, C only 4, and 8 outside the circles

12, 5, 9, 10, 6, 3, 4 and 8 represent the numbers of elements.

Find

(i) \(\mathrm{n}(A \cup B)\) (1)
(ii) \(\mathrm{n}(A' \cap B')\) (1)
(iii) \(\mathrm{n}([A \cap B] \cup C)\) (1)
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