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The table below shows the preference ballots for an election with 16 voters and 3 candidates. Use the table to write out the preference schedule for this election. Ballots 1st B A C A A A A C A C C C C C B B 2nd C B B B B B B B B B B B B B C C 3rd A C A C O C C A C A AA A A A A Write out the preference schedule for this election. Number of Voters 1st choice A B C 2nd choice B C B 3rd choice C A AAn election is held to choose the chair of a department at a university. The candidates are Professors Argand, Brandt, Chavez, Dietz, and Epstein (A, B, C, D, and E for short). The following table gives the preference schedule for the election. Use the table to complete parts (a) through (c). Number of Voters 4 9 8 6 6 8 1st choice A C B E E B 2nd choice B B A D B E 3rd choice E D C C C C 4th choice C A E A D A 5th choice D E D B A D (a) How many people voted in this election? voters (Type a whole number.) (b) How many first-place votes are needed for a majority? The smallest number for a majority is votes. (c) Which candidate had the fewest last-place votes? O A O )E O B O C O OThe given table shows the preference schedule for an election with four candidates (A, B, C, and D). Use the method of pairwise comparisons to solve parts a and b. Number of Voters 9 4 4 4 4 1st A D D A A A 2nd C C B D D C 3rd B A A B C D 4th D B C C B B (a) Find the winner of the election. Candidate (1) is the winner of the election. (b) Find the complete ranking of the candidates. Choose the correct answer below. O A, C, D, B O A, C, B, D O D, B, A, C O C. D, B, A OOOO