Exam-Style Problem

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June 2010 p63 q4
2801

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.
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