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The Ballroom Dance Club Voted on What Time to Have N\mathrm { N }

Question 10

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The Ballroom Dance Club voted on what time to have their Saturday meetings: 9:00 a.m. (N), 10:00 a.m. (T), or 11:00 a.m. (E). The preference ballots for the election are shown below. Make a preference table for the results of the election and answer each question.
(a) How many people voted?
(b) How many people voted for the candidates in the order of preference NTE?
(c) How many people voted for candidate N\mathrm { N } as their first choice?
(d) Using the plurality method, determine the winner of the election.

TTTNTTNNTNNNTNT \begin{array}{lllllllllllllll}\mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{N} & \mathrm{T} & \mathrm{T} & \mathrm{N} & \mathrm{N} & \mathrm{T} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{T} & \mathrm{N} & \mathrm{T}\end{array} NNNTNNTENTETNEN \begin{array}{llllllllllllllll}\mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{T} & \mathrm{N} & \mathrm{N} & \mathrm{T} & \mathrm{E} & \mathrm{N} & \mathrm{T} & \mathrm{E} & \mathrm{T} & \mathrm{N} & \mathrm{E} & \mathrm{N}\end{array} EEEEEEETEETEEE \begin{array}{lllllllllllllll}E & E & E & E & E & E & E & T & E & E & T & E & \mathrm{E} & \mathrm{E}\end{array} .

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