19 \(A\) and \(B\) are two sets. \(\mathrm{n}(\mathscr{E}) = 37\) \(\mathrm{n}(A) = 22\) \(\mathrm{n}(A \cap B) = 12\) \(\mathrm{n}(A \cup B) = 30\)
(a) Complete the Venn Diagram to show the numbers of elements.(2)
(b) Find
(i) \(\mathrm{n}(A \cap B\prime)\)
(ii) \(\mathrm{n}(A\prime \cup B\prime)\)
(2)
Mark scheme (a)
Scheme
Marks
B2
(2)
Notes
B2: for all correct B1 for 2 or 3 correct
Apart from Questions 3, 13(b) and 17(f) (where the mark scheme states otherwise), the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
