4MA0 Higher June 2013 Paper 4R Q21

21 A garage tests cars for faults.
There are three types of fault – braking, steering and lighting.
A car fails the test if it has one or more of these three types of fault.

Last week, 11 cars had braking faults
9 cars had steering faults
7 cars had lighting faults
no car had both steering faults and lighting faults
2 cars had both braking faults and steering faults
3 cars had both braking faults and lighting faults.

By drawing a Venn Diagram, or otherwise, find the number of cars which failed the test last week.

(3)