he 2006 associated press college football poll. The AP college football poll is a

Chapter 1, Problem 65

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he 2006 associated press college football poll. The AP college football poll is a ranking of the top 25 college football teams in the country and is one of the key polls used for the BCS (Bowl Championship Series). The voters in the AP poll are a group of sportswriters and broadcasters chosen from across the country. The top 25 teams are ranked using a Borda count: each first-place vote is worth 25 points, each second-place vote is worth 24 points, each third-place vote is worth 23 points, and so on. Table 44 shows the ranking and total points for each of the top three teams at the end of the 2006 regular season. (The remaining 22 teams are not shown here because they are irrelevant to this exercise.) n Table 44 Team points 1. Ohio State 1625 2. Florida 1529 3. Michigan 1526 (a) Given that Ohio State was the unanimous first-place choice of all the voters, find the number of voters that participated in the poll. (b) Given that all the voters had Florida in either second or third place, find the number of second-place and the number of third-place votes for Florida. (c) Given that all the voters had Michigan in either second or third place, find the number of second-place and the number of third-place votes for Michigan