The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First J S J C Second S J C S Third C C S J Determine the winner using the plurality method. Did the winner receive a majority of the first place votes using the plurality method. Select one: a. Smith; yes b. Clark; Yes c. Jones; No d. Smith; No e. Jones; Yes f. Clark; No

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The Mathematics Department is holding an election for department chair.  Each member ranks the candidates from first to third.  The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).

Number of Votes     7     10     4     8

First                       J       S     J     C

Second                  S       J     C     S

Third                      C       C     S     J

Determine the winner using the plurality method.  Did the winner receive a majority of the first place votes using the plurality method.

Select one:
a.

Smith; yes

b.

Clark; Yes

c.

Jones; No

d.

Smith; No

e.

Jones; Yes

f.

Clark; No

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