CAIE S1 2014 November — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionNovember
TopicCombinations & Selection

7 A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done
  1. if there are more women than men on the committee,
  2. if the committee consists of 3 men and 3 women but two particular men refuse to be on the committee together? One particular committee consists of 5 women and 1 man.
  3. In how many different ways can the committee members be arranged in a line if the man is not at either end?