# SOLUTION: 1.How many ways can a club consisting of 30 people elect a president, vice president, secretary, and treasurer? 2. Jennifer is asked to complete 5 of the 7 essay questions on he

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 496122: 1.How many ways can a club consisting of 30 people elect a president, vice president, secretary, and treasurer? 2. Jennifer is asked to complete 5 of the 7 essay questions on her literature esam. How many choices does she have? Answer by stanbon(57424)   (Show Source): You can put this solution on YOUR website!1.How many ways can a club consisting of 30 people elect a president, vice president, secretary, and treasurer? 30 ways to choose the pres 29 ways to choose the vp 28 ways to chose the sec 26 ways to chose the tr --- Ans: 20P4 = 20!/(20-4)! = 20!/16! = 20*19*18*17 ways ================================================== 2. Jennifer is asked to complete 5 of the 7 essay questions on her literature esam. How many choices does she have? Ans: 7C5 = 7C2 = (7*6)/(1*2) = 21 choices ========================================= Cheers, stan H. ===========