The 12 preference ballots for four candidates (A, B, C, and D) are shown. Construct a preference table to illustrate the results of the election.
ABCD BDCA CBDA ABCD CBDA ABCD
BDCA BDCA CBAD CBAD ABCD CBDA
A preference table to show the results of the election from the data given below –
The
ABCD, BDCA, CBDA, ABCD, CBDA, ABCD, BDCA, BDCA, CBAD, CBAD, ABCD, CBDA
Answer to Problem 1RE
Solution:
The preference table is shown below:
Number of candidates voted | ||||
First choice | A | C | B | C |
Second choice | B | B | D | B |
Third choice | C | D | C | A |
Fourth choice | D | A | A | D |
Explanation of Solution
Given:
The
ABCD, BDCA, CBDA, ABCD, CBDA, ABCD, BDCA, BDCA, CBAD, CBAD, ABCD, CBDA
Construct the table for the given poll.
First, write the same order preferences once as shown below:
ABCD occurs four times.
CBDA occurs three times.
BDCA occurs three times.
CBAD occurs two times.
Now, construct a preference table with five columns and five rows:
Number of candidates voted | ||||
First choice | A | C | B | C |
Second choice | B | B | D | B |
Third choice | C | D | C | A |
Fourth choice | D | A | A | D |
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Chapter 13 Solutions
Student's Solutions Manual for Thinking Mathematically
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