CAIE S1 2022 March — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionMarch
TopicCombinations & Selection

5 A group of 12 people consists of 3 boys, 4 girls and 5 adults.
  1. In how many ways can a team of 5 people be chosen from the group if exactly one adult is included?
  2. In how many ways can a team of 5 people be chosen from the group if the team includes at least 2 boys and at least 1 girl?
    The same group of 12 people stand in a line.
  3. How many different arrangements are there in which the 3 boys stand together and an adult is at each end of the line?