Question 2: A club has 20 members. Five are seniors, four arejuniors, two are sophomores and nine are freshmen. A. In how manyways can the club select a president, a secretary and a treasurerif every member is eligible for each position and no member canhold two positions? B. In how many ways can the club choose a groupof 5 members to attend the annual meeting. C. In how many ways canthe club choose a group of 5 members to attend annual meeting iftwo members must be seniors, and the remaining classes must berepresented (one junior, one sophomore, and one freshman)? D. Inhow many ways can a committee be formed from the group members suchthat there is a chair and secretary along with 3 other votingmembers (assume again every member is eligible and the choice iswithout replacement)?
