CAIE S1 2012 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicPermutations & Arrangements
TypeSelection with type constraints

3
  1. In how many ways can all 9 letters of the word TELEPHONE be arranged in a line if the letters P and L must be at the ends? How many different selections of 4 letters can be made from the 9 letters of the word TELEPHONE if
  2. there are no Es,
  3. there is exactly 1 E ,
  4. there are no restrictions?