CAIE S1 2019 March — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionMarch
TopicPermutations & Arrangements
TypeArrangements with positional constraints

7 Find the number of different arrangements that can be made of all 9 letters in the word CAMERAMAN in each of the following cases.
  1. There are no restrictions.
  2. The As occupy the 1st, 5th and 9th positions.
  3. There is exactly one letter between the Ms.
    Three letters are selected from the 9 letters of the word CAMERAMAN.
  4. Find the number of different selections if the three letters include exactly one M and exactly one A.
  5. Find the number of different selections if the three letters include at least one M.
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.