A committee of two people is chosen from 6 people: Persons A, B, C, D, E, and F. i. How many committees are in the sample space? ii. What is the probability that person C is on the committee? iii. What is the probability that persons D and E are not both on the committee? iv. What is the probability that both A and C are on the committee? v. What is the probability that both B or F are on the committee?