In: Math
Question 2: A club has 20 members. Five are seniors, four are juniors, two are sophomores and nine are freshmen. A. In how many ways can the club select a president, a secretary and a treasurer if every member is eligible for each position and no member can hold two positions? B. In how many ways can the club choose a group of 5 members to attend the annual meeting. C. In how many ways can the club choose a group of 5 members to attend annual meeting if two members must be seniors, and the remaining classes must be represented (one junior, one sophomore, and one freshman)? D. In how many ways can a committee be formed from the group members such that there is a chair and secretary along with 3 other voting members (assume again every member is eligible and the choice is without replacement)?