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1. I asked my daughter's class to rank their favorite subject between M-math, S-science, SS-social studies, and R=reading/writing. Here was the results of the

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1. I asked my daughter's class to rank their favorite subject between M-math, S-science, SS-social studies, and R=reading/writing. Here was the results of the voting: rank 1st 2nd 3rd 6 3 3 M R SMRS SPS Number of votes 2 21 1 1 SS M S SS SS SS R R M M SS 4th SS SS S S S R M S 1 1 M R RSSM SS S R SS SS MRM MS (a) Determine the most popular subject using the plurality voting system. (b) Determine the most popular subject using the Condorcet voting system (show your work). (c) Rank the popularity of the subjects using the Borda count. Page 1 / 2 - + 2 (d) Determine the most popular subject using the sequential voting system with agenda M, S, R, SS. (e) Determine the most popular subject using the sequential voting system with agenda SS, R, S, M. (f) Determine the most popular subject using the Hare voting system. (g) Determine the most popular subject using a plurality runoff. Page 2 / 2 - +

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