7.9 Exercise 3

You are president of a club with 10 members: 4 seniors, 3 juniors, 2 sophomores, and 1 first-year. You need to choose 2 members to represent the club on 2 college committees. The first person selected will be on the Club Awards Committee and the second will be on the New Club Orientation Committee. The same person cannot be selected for both. You decide to select these representatives at random.

1. What is the probability that a senior is chosen for both positions?
2. What is the probability that a junior is chosen first and a sophomore is chosen second?
3. What is the probability that a sophomore is chosen first and a senior is chosen second?