Please solve for me

Name: Ch 3 Combinations - 3.2 3.2 - Combinations MDM 4U1 A. Investigation: Committees! When order does not matter Adam, Balkys, Samira, Liban and Elias are available to be selected for a class council. 1. How many ways could you make a committee if you need to appoint a President, Secretary and Treasurer? (Express your answer as a quotient of factorials) 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 #1 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/A/L, 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 / items, choosing a subset of r items, without regard to order? We call these COMBINATIONS. What's similar to the permutation formula? What's different? --stop here and check in with your teacher before continuing