CAIE S1 2018 June — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicPermutations & Arrangements
TypeArrangements with alternating patterns

7 Find the number of ways the 9 letters of the word SEVENTEEN can be arranged in each of the following cases.
  1. One of the letter Es is in the centre with 4 letters on either side.
  2. No E is next to another E.
    5 letters are chosen from the 9 letters of the word SEVENTEEN.
  3. Find the number of possible selections which contain exactly 2 Es and exactly 2 Ns.
  4. Find the number of possible selections which contain at least 2 Es.
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.