OCR S1 Specimen — Question 3

Exam BoardOCR
ModuleS1 (Statistics 1)
SessionSpecimen
TopicPermutations & Arrangements
TypeArrangements with adjacency requirements

3 Five friends, Ali, Bev, Carla, Don and Ed, stand in a line for a photograph.
  1. How many different possible arrangements are there if Ali, Bev and Carla stand next to each other?
  2. How many different possible arrangements are there if none of Ali, Bev and Carla stand next to each other?
  3. If all possible arrangements are equally likely, find the probability that two of Ali, Bev and Carla are next to each other, but the third is not next to either of the other two.