Given the Following Voter Profile, Determine Who Has the Majority

question 1

Multiple Choice

Given the following voter profile, determine who has the majority of first place votes and then use the Borda Method to determine the outcome. Does the Borda method violate the majority criterion For the voter profile?
$\begin{array}{c|l}\text { Number of Voters } & \text { Ranking } \\\hline 8 & \mathrm{a}>\mathrm{b}>\mathrm{c}>\mathrm{d} \\7 & \mathrm{~b}>\mathrm{c}>\mathrm{d}>\mathrm{a} \\4 & \mathrm{~b}>\mathrm{d}>\mathrm{c}>\mathrm{a} \\10 & \mathrm{a}>\mathrm{b}>\mathrm{d}>\mathrm{c} \\8 & \mathrm{a}>\mathrm{c}>\mathrm{d}>\mathrm{b} \\6 & \mathrm{c}>\mathrm{b}>\mathrm{d}>\mathrm{a} \\8 & \mathrm{~b}>\mathrm{d}>\mathrm{a}>\mathrm{c}\end{array}$

• A) a, a; no
• B) a, b; yes
• C) b, b; no
• D) b, a; yes

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