CAIE S1 2010 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionJune
TopicPermutations & Arrangements
TypeArrangements with identical objects

4 Three identical cans of cola, 2 identical cans of green tea and 2 identical cans of orange juice are arranged in a row. Calculate the number of arrangements if
  1. the first and last cans in the row are the same type of drink,
  2. the 3 cans of cola are all next to each other and the 2 cans of green tea are not next to each other.