CAIE S1 2018 June — Question 7

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

7 Find the number of different ways in which all 9 letters of the word MINCEMEAT can be arranged in each of the following cases.
  1. There are no restrictions.
  2. No vowel (A, E, I are vowels) is next to another vowel.
    5 of the 9 letters of the word MINCEMEAT are selected.
  3. Find the number of possible selections which contain exactly 1 M and exactly 1 E .
  4. Find the number of possible selections which contain at least 1 M and at least 1 E .
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.