CAIE S1 2020 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionNovember
TopicCombinations & Selection

3 A committee of 6 people is to be chosen from 9 women and 5 men.
  1. Find the number of ways in which the 6 people can be chosen if there must be more women than men on the committee.
    The 9 women and 5 men include a sister and brother.
  2. Find the number of ways in which the committee can be chosen if the sister and brother cannot both be on the committee.