Question

Number of voters	7	5	11
1st choice	B	C	A
2nd choice	A	B	B
3rd choice	C	A	C

Find the winner of this election under the plurality-with-elimination (instant runoff voting) method.

Winner =

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Answer 1

Solution:

Winner = B

Explanation:

The total number of voters are:

7+5+11=23

Therefore, the winner should have at least 12 votes.

Number of voters	7	5	11
1st choice	B	C	A
2nd choice	A	B	B
3rd choice	C	A	C

A: 11

B: 7

C: 5

Using the plurality-with-elimination method, the player C has minimum number of votes and will be eliminated. Therefore, the new table will be:

Number of voters	7	5	11
1st choice	B		A
2nd choice	A	B	B
3rd choice		A

A: 11

B: 7+5=12

Since the B has the majority of votes, therefore, the winner is B