Problem

The members of the football team selected their team captain from three of the seniors:...

The members of the football team selected their team captain from three of the seniors: Jorgensen, Petrini, and Ramirez. Each player ranked his choices from first to third, and 88 players completed ballots. There are six ways to rank the choices; the following table shows the number of players who ranked the candidates in a given order.

a. How many first-place votes would be required for a majority win?

b. How many first-place votes did each person receive?

c. Under the plurality method, who is selected as team captain?

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