10th Edition

ISBN: 9780135835210

Author: Angel

Publisher: PEARSON

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If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

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The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Textbook Question

Chapter 14, Problem 23RE

A Taste Test In a taste test, 114 people are asked to taste and rank four different brands of spaghetti sauce. The choices are Ragu (R), Prego (P), Newman’s Own (N), and Barilla (B). The preference table is shown below.

Number of Votes	54	24	23	21	12
First	P	R	N	B	B
Second	R	B	B	N	N
Third	N	N	R	P	R
Fourth	B	P	P	R	P

a. Which brand is favored over all others in a head-to-head comparison?
b. Which brand wins if the plurality method is used?
c. Which brand wins if the Borda count method is used?
d. Which brand wins if the plurality with elimination method is used?
e. Which brand wins if the pairwise comparison method is used?
f. Which voting method(s) in parts (b) through (e) violate the head-to-head criterion?

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Chapter 14, Problem 22RE

Chapter 14, Problem 24RE

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Chapter 14 Solutions

SURVEY OF MATHEMATICS - 24 MONTH MML CO

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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Solution Summary: The author determines which brand is favored over all others in a head-to-head comparisons.

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Chapter 14 Solutions