A certain college football poll ranks the top 29 college football teams. The top 29 teams are ranked using a Borda count: each first-place vote is worth 29 points, each second-place vote is worth 28 points, each third-place vote is worth 27 points, and so on. The table to the right shows the ranking and total points for each of the top three teams at the end of one regular season. (The remaining 26 teams are not shown here because they are irrelevant to this exercise.) Complete parts (a) through (c) below.

Team Points

1. College A 1740

2. College B 1638

3. College C 1662

(a) Given that College A was the unanimous first-place choice of all voters, find the number of voters that participated in the poll. 601 (b) Given that all the voters had College B in either second or third place, find the number of second-place and the number of third-place votes for College B. The number of second place votes is and the number of third-place votes is (c) Given that all the voters had College C in either second or third place, find the number of second-place and the number of third-place votes for College C. The number of second place votes is and the number of third-place votes is