Maths AS LevelWatch
A School places it's students into four houses A, B, C, and D. The cricket coach selects a squad of 15 players from whom he will select the first 11.
Given that the squad is made up of three members of house A, five from B, one from C, and six from D, find the probability that the final 11, if chosen at random (because all fifteen are all-rounders), contains:
1) All five players from house B
2) Two players from house B
3) The one player from house C.