Question: Deal with the following situation: Of a company's personnel, 7 people work in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in accounting, and 3 in marketing. A committee of 6 people is to be formed to meet with upper management.
1. How many committees with 1 member from each department are possible?
2. How many committees with exactly 2 members from manufacturing are possible?