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Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang
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An election will be held to fill three faculty seats and three student seats on a

Chapter 8, Problem 5

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QUESTION:

An election will be held to fill three faculty seats and three student seats on a certain committee. The faculty member with the most votes gets a 3-year term, the one receiving the second highest total gets a 2-year term and the one receiving the third highest total gets a 1-year term. All three elected students receive a 1-year term. If there are 7 faculty members and 8 students on the ballot, how many different election outcomes are possible?

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QUESTION:

An election will be held to fill three faculty seats and three student seats on a certain committee. The faculty member with the most votes gets a 3-year term, the one receiving the second highest total gets a 2-year term and the one receiving the third highest total gets a 1-year term. All three elected students receive a 1-year term. If there are 7 faculty members and 8 students on the ballot, how many different election outcomes are possible?

ANSWER:

Problem 5

An election will be held to fill three faculty seats and three student seats on a certain committee. The faculty member with the most votes gets a 3-year term: the one receiving the second highest total gets a 2-year term and the one receiving the third highest total gets a 1 -year term. All three elected students receive a 1-year term. If there are 7 faculty members and 8 students on the ballot: how many different election outcomes are possible?

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There are 7 faculty members and 8 students and a committee is to be formed of 3 faculty members and 3 students

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