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There Are 21 Delegates to a Political Party's Convention at Which

Question 57

Essay

There are 21 delegates to a political party's convention at which four people-A, B, C, and D-have been nominated as the party's candidate for governor. The delegates' preference schedule is shown below. If the party uses a Borda count, candidate B would be elected. Can the four voters who most prefer candidate C vote strategically in some way to change this outcome to one they would find more favorable? Why or why not? \quad \quad \quad \quad \quad \quad \quad \quad Number of \text { Number of }
\quad \quad \quad \quad \quad \quad \quad \quad delegates \text { delegates }
894 First choice  A  B  C  Second choice  B  A  B  Third choice  C  D  A  Fourth choice  D  C  D \begin{array}{lccc} & 8 & 9 & 4 \\\text { First choice } & \text { A } & \text { B } & \text { C } \\\text { Second choice } & \text { B } & \text { A } & \text { B } \\\text { Third choice } & \text { C } & \text { D } & \text { A } \\\text { Fourth choice } & \text { D } & \text { C } & \text { D }\end{array}

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No. They do not have enough vo...

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