The children in Ms. Cohns seventh-grade class are voting on a theme for their class party. Their

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The children in Ms. Cohn’s seventh-grade class are voting on a theme for their class party. Their choices are beach (B), the world (W), superheroes (S), or rock and roll (R). The results are shown in the preference table below.

The children in Ms. Cohn’s seventh-grade class are voting on

(a) Which theme is preferred to all the other themes in a head-to-head comparison?

(b) Suppose that the plurality method is used to determine the winner. Is the head-to-head criterion satisfied? Explain.

Number of Votes First 12 4 4 3 3 B R Second B R Third B B Fourth R

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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The children in Ms. Cohns seventh-grade class are voting on a theme for their class party. Their

Question:

Number of Votes First 12 4 4 3 3 B R Second B R Third B B Fourth R

Step by Step Answer:

a Total votes 12 6 4 3 25 B vs W B 12 6 4 22 W 3 B gets 1 pt B vs S B 12 3 15 S 10 B gets ...View the full answer

A Survey of Mathematics with Applications

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