Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
A car park contains 18 spaces for cars, set out in a straight line. On one day, 5 cars of different makes are parked in randomly selected positions, leaving 13 spaces empty.
(i)[2]
Find the number of different arrangements of the 5 cars in the car park.
(ii)[5]
Find the probability that the 5 cars are not all next to one another.
(iii)[5]
Find the number of selections Elizabeth can make that contain cars of at least 2 different colours.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct application of permutations $^{18}P_5$ or an equivalent method” …