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Question 24

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A group of 22 young people must decide whether to go to the beach (B), the mountain (M), or the zoo (Z) on a field trip. Their preference rankings are summarized in the table below, and the decision will be made using a Borda count. \quad \quad \quad \quad \quad \quad \quad Number of voters \text { Number of voters }
1084 First choice BMZ Second choice MBM Third choice ZZ B\begin{array} { l c c c } & 10 & 8 & 4 \\\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { Z } \\\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } \\\text { Third choice } & Z & Z & \mathrm {~B}\end{array}
-Can the 10 voters in the first column change the results of the vote to their favor by changing their preference rankings?

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