CAIE S1 2005 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2005
SessionNovember
TopicPermutations & Arrangements
TypeArrangements with identical objects

3 A staff car park at a school has 13 parking spaces in a row. There are 9 cars to be parked.
  1. How many different arrangements are there for parking the 9 cars and leaving 4 empty spaces?
  2. How many different arrangements are there if the 4 empty spaces are next to each other?
  3. If the parking is random, find the probability that there will not be 4 empty spaces next to each other.