CAIE S1 2022 June — Question 2

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

2 There are 6 men and 8 women in a Book Club. The committee of the club consists of five of its members. Mr Lan and Mrs Lan are members of the club.
  1. In how many different ways can the committee be selected if exactly one of Mr Lan and Mrs Lan must be on the committee?
  2. In how many different ways can the committee be selected if Mrs Lan must be on the committee and there must be more women than men on the committee?