4MA0 Higher June 2017 Paper 3 Q18

EdexcelHigherOld spec4 marksSets

18 \(A\) and \(B\) are two sets.

\(\mathrm{n}(\mathscr{E}) = 50\)
\(\mathrm{n}(A \cap B) = 4\)
\(\mathrm{n}(A) = 5\)
\(\mathrm{n}(B) = 9\)

(a) Complete the Venn diagram to show the numbers of elements.
Venn diagram with two overlapping circles A and B inside a rectangle for the universal set, with blank spaces for the numbers in each region
(2)
(b) Find
(i) \(\mathrm{n}(A \cap B')\)
(ii) \(\mathrm{n}(A \cup B')\) (2)
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