CAIE S1 2018 November — Question 3 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionNovember
Marks3
TopicCombinations & Selection

3 In an orchestra, there are 11 violinists, 5 cellists and 4 double bass players. A small group of 6 musicians is to be selected from these 20.
  1. How many different selections of 6 musicians can be made if there must be at least 4 violinists, at least 1 cellist and no more than 1 double bass player?
    The small group that is selected contains 4 violinists, 1 cellist and 1 double bass player. They sit in a line to perform a concert.
    [0pt]
  2. How many different arrangements are there of these 6 musicians if the violinists must sit together? [3]