Chapter 1, Problem 3E

An election is held to choose the Chair of the Mathematics Department at Tasmania State University. The candidates are professors Argand, Brandt, Chavez, Dietz, and Epstein ( $A,B,C,D,\text{and}E$ for short). Table 1-25 shows the preference schedule for the election.

Table 1-25

$Numberofvoters$	5	5	3	3	3	2
$1st$	A	C	A	B	D	D
$2nd$	B	E	D	E	C	C
$3rd$	C	D	B	A	B	B
$4th$	D	A	C	C	E	A
$5th$	E	B	E	D	A	E

a. How many people voted in this election?

b. How many first-place votes are needed for a majority?

c. Which candidate had the fewest last-place votes?