Question 9.64

34. The 45 members of a school’s football team vote on three nominees, , and , by approval voting for the award of “most improved player,” as indicated in the following table. An X indicates an approval vote.

Nominee Number of Voters (45)
7 8 9 9 6 3 1 2
X X X X
X X X X
X X X X
  1. Which nominee is selected for the award?
  2. Which nominee gets announced as runner-up for the award?
  3. Note that two of the players “abstained"; that is, approved of none of the nominees. Note also that one person approved of all three of the nominees. What would be the difference in the outcome if one were to “abstain” or “approve of everyone”?