A software company has 10 people in development as well as QA, 6 sales & marketing staff, and 5 support representatives. A team of four people is being put together for strategic planning.
(a) How many different possible teams could be chosen?
(b) Suppose the team members are chosen uniformly at random. What is the probability that the resulting team has at least one member from each of the three areas?
(c) What is the probability that all four members of the team are from development/QA?