Q5 \"Strength can be weakness\" A threeperson committee has to choose a whmer for a national art prize. After some debate, there are three candidates still under consideration: a woman who draws antelope in urban set tings, a man who makes rectangular lead boxes, and a woman who sculpts charcoal. Let's call these candidates a, b and c; and call the connnittee members 1, 2 and 3. The preferences of the committee members are as follows: member 1 prefers a to b and b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The rules of the competition say that, if the}.r disagree, they should vote {secret ballot, one member one vote) and that, if and only if the vote is tied, the winner will be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an advantage