(10 points) Assume that a student committee with ve members is using an eSpecial voting system to choose its new representative between three candidates. v,- for '6 6 {1,2,--- ,5} shows a voter and c,- for j 6 {1,2,3} shows a candidate. The voting system works as follows: a In the rst round, each 1), announces her ranking over the three can didates: 0 Then the candidate who is the rst choice of the lowest number of the voters is eliminated. o The procedure repeats between the remaining candidates and the candidate who is the rst choice of the highest number of the voters is chosen as the new representative. (a) Can the Condorcet winner be the chosen representative under this voting system? Explain. (5 pts) (b) How strategic voting can change the outcome? Explain. (5 pts)