OCR MEI S1 2015 June — Question 4

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2015
SessionJune
TopicCombinations & Selection

4 A rugby team of 15 people is to be selected from a squad of 25 players.
  1. How many different teams are possible?
  2. In fact the team has to consist of 8 forwards and 7 backs. If 13 of the squad are forwards and the other 12 are backs, how many different teams are now possible?
  3. Find the probability that, if the team is selected at random from the squad of 25 players, it contains the correct numbers of forwards and backs.