Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R).
1. Construct a preference table for the results of the election.
To construct: The preference table for the results in the election.
Answer to Problem 1RE
The preference table for the results in the election are listed below.
Number of votes | 5 | 5 | 5 |
First choice | Q | P | R |
Second choice | R | Q | P |
Third choice | P | R | Q |
Explanation of Solution
Given:
The three candidates are Peterson (P), Quintana (Q) and Ross (R).
The preference table of the best speaker in a contest for the election are listed below.
Q | P | R | Q | Q | P | R | P | R | Q | P | R | Q | R | P |
R | Q | P | R | R | Q | P | Q | P | R | Q | P | R | P | Q |
P | R | Q | P | P | R | Q | R | Q | P | R | Q | P | Q | R |
Calculation:
The choices are Peterson (P), Quintana (Q) and Ross (R).
From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.
That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.
Therefore, the preference table of the results in the election are listed below.
Number of votes | 5 | 5 | 5 |
First choice | Q | P | R |
Second choice | R | Q | P |
Third choice | P | R | Q |
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Chapter 12 Solutions
Quantitative Literacy (Loose Leaf) with Connect Math Hosted by ALEKS Access Card
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