Suppose a Legislative Assembly Is Considering a New Bill $\mathrm { n }$

question 94

Multiple Choice

Suppose a legislative assembly is considering a new bill ( $\mathrm { n }$ ) to replace existing law (e) , and two amendments $\left( a _ { x } , a _ { y } \right)$ are considered. The results of all pairwise comparisons are given in the table.
$\begin{array}{c|c}\text { Pair } & \text { How Representatives Rank the Pair } \\\hline \mathrm{n} \text { and } \mathrm{a}_{\mathrm{x}} & \mathrm{a}_{\mathrm{x}}>\mathrm{n} \\\mathrm{n} \text { and } \mathrm{a}_{\mathrm{y}} & \mathrm{n}>\mathrm{a}_{\mathrm{y}} \\\mathrm{n} \text { and } \mathrm{e} & \mathrm{n}>\mathrm{e} \\\mathrm{a}_{\mathrm{X}} \text { and } \mathrm{a}_{\mathrm{y}} & \mathrm{a}_{\mathrm{y}}>\mathrm{a}_{\mathrm{x}} \\\mathrm{a}_{\mathrm{x}} \text { and } \mathrm{e} & \mathrm{a}_{\mathrm{x}}>\mathrm{e} \\\mathrm{a}_{\mathrm{y}} \text { and } \mathrm{e} & \mathrm{e}>\mathrm{a}_{\mathrm{y}}\end{array}$

If Amendment $\mathrm { a } _ { \mathrm { y } }$ is proposed and then Amendment $\mathrm { a } _ { \mathrm { x } }$ , the order of the sequential pairwise comparisons needed to determine the legislative outcome is $n , a _ { y } , a _ { x } , e$ . What is the choice of the representatives in this case?

• A) \(n\)
• B) \(a _ { x }\)
• C) \(a _ { y }\)
• D) e

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