CAIE S1 2006 November — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2006
SessionNovember
TopicPermutations & Arrangements
TypePeople arrangements in lines

6 Six men and three women are standing in a supermarket queue.
  1. How many possible arrangements are there if there are no restrictions on order?
  2. How many possible arrangements are there if no two of the women are standing next to each other?
  3. Three of the people in the queue are chosen to take part in a customer survey. How many different choices are possible if at least one woman must be included?