6 A car park has spaces for 18 cars, arranged in a line. On one day there are 5 cars, of different makes, parked in randomly chosen positions and 13 empty spaces.
- Find the number of possible arrangements of the 5 cars in the car park.
- Find the probability that the 5 cars are not all next to each other.
On another day, 12 cars of different makes are parked in the car park. 5 of these cars are red, 4 are white and 3 are black. Elizabeth selects 3 of these cars.
[0pt] - Find the number of selections Elizabeth can make that include cars of at least 2 different colours. [5]