CAIE S1 2015 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionNovember
TopicPermutations & Arrangements
TypeArrangements with adjacency requirements

5
  1. Find the number of ways in which all nine letters of the word TENNESSEE can be arranged
    1. if all the letters E are together,
    2. if the T is at one end and there is an S at the other end.
  2. Four letters are selected from the nine letters of the word VENEZUELA. Find the number of possible selections which contain exactly one E .