A company has 100 employees. For a Christmas team-building exercise, they divide the 100 employees into 25 teams of 4.
Randomly and independently, they give an award to 20 employees.
Find the expected value of the number of awards given to the employees on any given team. What type of distribution is this?
So far, I have that there are 100!/(4!^25)*25! combinations for the teams, but don't know where to go from there