CAIE S1 2021 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionJune
TopicPermutations & Arrangements
TypeArrangements with positional constraints

6
  1. Find the total number of different arrangements of the 8 letters in the word TOMORROW.
  2. Find the total number of different arrangements of the 8 letters in the word TOMORROW that have an R at the beginning and an R at the end, and in which the three Os are not all together.
    Four letters are selected at random from the 8 letters of the word TOMORROW.
  3. Find the probability that the selection contains at least one O and at least one R .