Question: The Quilting Club of Charlotte is voting on which city to visit for its spring trip. The choices are Charleston (C), Savannah (S), Philadelphia (P),

The Quilting Club of Charlotte is voting on which city to visit for its spring trip. The choices are Charleston (C), Savannah (S), Philadelphia (P), and Boston (B). The preference table for the 23 members’ choices is given below.

A Charleston, SC Number of Votes 12 8 3 First S B

a) Which city, if any, holds a majority of first-place votes?

b) Which city is selected using the plurality method?

c) Which city is selected using the Borda count method?

d) Which city is selected using the plurality with elimination method?

e) Which city is selected using the pairwise comparison method?

f) For this preference table, which voting method(s), if any, violate the majority criterion?

A Charleston, SC Number of Votes 12 8 3 First S B Second C C S Third P B P. Fourth B S

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