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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 42ES

Textbook Problem

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*Approval voting* is a system in which voters may vote for more than one candid ate. Each vote counts equally, and the candidate with the most total votes wins the election. Many feel that this is a better system for large elections than simple plurality because it considers a voters second choices and is a stronger measure of overall voter support for each candidate. Some organizations use approval voting to elect their officers. The United Nations uses this method to elect the secretary-general.

Suppose a math class is going to show a film involving mathematics or mathematicians on the last day of class. The options are *Stand and Deliver. Good Will Hunting. A* *Beautiful**Mind, Proof,* and *contact.* The students vote using approval voting. The results are as follows.

8 students vote for all five films.

8 students vote for *Good Will Hunting. A Beautiful Mind,* and *contact.* 8 students vote for *Stand and Deliver, Good Will Hunting,* and *Contact.* 8 students Vote for *A**Beautiful Mind* and *Proof* 8 students vote for *Stand and Deliver* and *Proof.* 8 students vote for *Good Will Hunting* and *Contact.* 1 student votes for *Proof* Which film will be chosen for the last day of class screening?

To determine

Which film is chosen to screen on the last day based on the voting?

**Given information:**

8 students vote for all five films.

8 students vote for Good Will Hunting, A Beautiful Mind, and Contact.

8 students vote for Stand and Deliver, Good Will Hunting, and Contact.

8 students vote for A Beautiful Mind and Proof.

8 students vote for Stand and Deliver and Proof.

8 students vote for Good Will Hunting and Contact.

1 student votes for Proof.

**Calculation:**

Total number of votes for each film

Stand and Deliver=

Good Will Hunting=

Mathematical Excursions (MindTap Course List)

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