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?

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

Chapter
Section

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.2, Problem 42ES
Textbook Problem
12 views

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?

Explanation of Solution

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.

Calculation:

Total number of votes for each film

Stand and Deliver= 8+8+8=24

Good Will Hunting= 8+8

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