4MA0 Higher June 2015 Paper 4 Q18
18 \(A\) and \(B\) are two sets.
\(n(\mathscr{E}) = 36\)
\(n(B) = 21\)
\(n(A \cap B) = 8\)
\(n(A') = 18\)
(a) Complete the Venn diagram to show the number of elements in each region of the Venn diagram.
(3)

(b) Find \(n(A \cup B)\) (1)
(c) Find \(n(A \cap B')\) (1)
| Scheme | Marks |
|---|---|
5, 10, 8, 13![]() | B1 B1 B1 |
| (3) |
Notes
B1 B1 B1: B1 for 8 in intersection and 13 in correct position
B1 for 5 in correct position
B1 for 10 in correct position
| Scheme | Marks |
|---|---|
| 31 | B1 |
| (1) |
Notes
B1: or ft from diagram
| Scheme | Marks |
|---|---|
| 10 | B1 |
| (1) |
Notes
B1: or ft from diagram
