In: Statistics and Probability
In a certain small company, 8 people work in the morning, 7 people work in the evening, and 5 people work in the night time. The human resources manager selects 4 people from this entire group.
a) How many selections result in all 4 people coming from the morning group?
b) What is the probability that all 4 selected people will be from morning group?
c) What is the probability that all 4 selected people will be from the same group (either from morning, evening or night)?