CAIE S1 2024 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicPermutations & Arrangements
TypeArrangements with positional constraints

6
  1. How many different arrangements are there of the 9 letters in the word RECORDERS?
  2. How many different arrangements are there of the 9 letters in the word RECORDERS in which there is an E at the beginning, an E at the end and the three Rs are not all together?
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-12_2725_40_136_2007}
    The 9 letters of the word RECORDERS are divided at random into two groups: a group of 5 letters and a group of 4 letters.
  3. Find the probability that the three Rs are in the same group.
    If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-14_2715_35_143_2012}