QUESTION 6. The 75 teachers on the faculty of Democracy College have filled out ballots in the form of preference lists. They are electing someone to represent themselves as Faculty Representative to the Board of Trustees. If no candidate gets a majority (at least 38 votes), they will resolve the election using the Instant Runoff Voting method. The candidates are Mike the Mathematician, Beverly the Biologist, Helen the Historian, Sophia the Sociologist, and Edward the English teacher. The 75 preference lists fall into 7 distinct groups. 15 Mike Beverly Helen Edward Sophia 14 Beverly Sophia Edward Mike Helen 11 Helen Sophia Beverly Edward Mike 10 Sophia Mike Helen Beverly Edward 10 Edward Sophia Mike Beverly Helen Show the counts, round by round, until a winner is determined. 8 Beverly Edward Sophia Mike Helen 7 Edward Sophia Helen Beverly Mike

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 6.
The 75 teachers on the faculty of Democracy College have filled out ballots in the form of
preference lists. They are electing someone to represent themselves as Faculty Representative to the
Board of Trustees. If no candidate gets a majority (at least 38 votes), they will resolve the election using
the Instant Runoff Voting method. The candidates are Mike the Mathematician, Beverly the Biologist,
Helen the Historian, Sophia the Sociologist, and Edward the English teacher. The 75 preference lists fall
into 7 distinct groups.
15
Mike
Beverly
Helen
Edward
Sophia
14
Beverly
Sophia
Edward
Mike
Helen
11
Helen
Sophia
Beverly
Edward
Mike
10
Sophia
Mike
Helen
Beverly
Edward
10
Edward
Sophia
Mike
Beverly
Helen
Show the counts, round by round, until a winner is determined.
8
Beverly
Edward
Sophia
Mike
Helen
7
Edward
Sophia
Helen
Beverly
Mike
Transcribed Image Text:QUESTION 6. The 75 teachers on the faculty of Democracy College have filled out ballots in the form of preference lists. They are electing someone to represent themselves as Faculty Representative to the Board of Trustees. If no candidate gets a majority (at least 38 votes), they will resolve the election using the Instant Runoff Voting method. The candidates are Mike the Mathematician, Beverly the Biologist, Helen the Historian, Sophia the Sociologist, and Edward the English teacher. The 75 preference lists fall into 7 distinct groups. 15 Mike Beverly Helen Edward Sophia 14 Beverly Sophia Edward Mike Helen 11 Helen Sophia Beverly Edward Mike 10 Sophia Mike Helen Beverly Edward 10 Edward Sophia Mike Beverly Helen Show the counts, round by round, until a winner is determined. 8 Beverly Edward Sophia Mike Helen 7 Edward Sophia Helen Beverly Mike
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