Higher January 2022 Paper 1R Q17

EdexcelHigherCurrent spec4 marksSets

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

Venn diagram: A only 6, A and B only 3, B only 8, B and C only 2, C only 5, outside all circles 4; A and C do not overlap

6, 3, 8, 2, 5 and 4 represent the numbers of elements.

Find

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