1. How many ways could you make a committee if you need of factorials) to appoint a President, Secretary and Treasurer? (Express your answer as a quotjunk 2. Suppose the class council is just a committee of three people, with no special positions. a. How many committees of three can be performed? List them here b. Why is the key difference between the conditions of choosing people for Q it and for Q #2a? c. For each arrangement of 3 people, how many redundant ways are there for selecting the members? As an example, note that a committee of Adam, Balkys, Liban, is the SAME as a committee of Balkys, Liban, Adam, or B/AL, etc. d. Can you come up with an expression, such as a quotient of factorials, to choose 3 members out of a set of 6? Remember that we must now exclude all the redundant ways for selecting people, because order does not matter. 3. Can you come up with a general formula for, from a set of /7 items, choosing a subset of I' items, without regard to order? We call these COMBINATIONS