CAIE S1 2019 November — Question 3

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

3 A sports team of 7 people is to be chosen from 6 attackers, 5 defenders and 4 midfielders. The team must include at least 3 attackers, at least 2 defenders and at least 1 midfielder.
  1. In how many different ways can the team of 7 people be chosen?
    The team of 7 that is chosen travels to a match in two cars. A group of 4 travel in one car and a group of 3 travel in the other car.
  2. In how many different ways can the team of 7 be divided into a group of 4 and a group of 3 ?