There are 4 different colors of balls in a bag and 5 balls of each color. If 4 balls are drawn randomly from the bag without replacement, find the probability that exactly 3 different colors are obtained.
In a company, there are 8 departments and 3 employees are in each departments. Now, 5 employees are chosen from these 24 employees. How many different combinations are there if the chosen employees are come from exactly 3 different departments?