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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 21ES

Textbook Problem

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Class Election Use plurality with elimination to choose the class president in Exercise 17.

To determine

Using the Borda count method, which student should be class president?

**Given Information:**

Rankings | ||||||

Raymond Lee | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Suzanne Brewer | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Michael Turley | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Number of votes | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

Since a senior high school class held an election for class president, therefore which student is class president is selected by plurality elimination method, second choice becomes first, 3^{r}^{d} choice become 2^{n}^{d}, 4^{t}^{h} choice becomes 3^{r}^{d} ,

**Calculation:**

In the table Elaine Garcia got 36 votes only at 1^{s}^{t} position which is less than all other students therefore it is eliminated as new preference schedule shown in table below,

Raymond Lee | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Suzanne Brewer | â€ƒâ€ƒ |

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