CAIE S1 2019 June — Question 8

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionJune
TopicCombinations & Selection

8 Freddie has 6 toy cars and 3 toy buses, all different. He chooses 4 toys to take on holiday with him.
  1. In how many different ways can Freddie choose 4 toys?
  2. How many of these choices will include both his favourite car and his favourite bus?
    Freddie arranges these 9 toys in a line.
  3. Find the number of possible arrangements if the buses are all next to each other.
  4. Find the number of possible arrangements if there is a car at each end of the line and no buses are next to each other.
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.