CAIE S1 2023 March — Question 7 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2023
SessionMarch
Marks3
TopicPermutations & Arrangements
TypeMultiple separation conditions combined

7
  1. Find the number of different arrangements of the 9 letters in the word DELIVERED in which the three Es are together and the two Ds are not next to each other.
  2. Find the probability that a randomly chosen arrangement of the 9 letters in the word DELIVERED has exactly 4 letters between the two Ds.
    Five letters are selected from the 9 letters in the word DELIVERED.
    [0pt]
  3. Find the number of different selections if the 5 letters include at least one D and at least one E . [3]
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.