CAIE S1 2003 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2003
SessionJune
TopicCombinations & Selection

5 A committee of 5 people is to be chosen from 6 men and 4 women. In how many ways can this be done
  1. if there must be 3 men and 2 women on the committee,
  2. if there must be more men than women on the committee,
  3. if there must be 3 men and 2 women, and one particular woman refuses to be on the committee with one particular man?