(Voting.) A group of mathematicians in New Zealand are organizing a Mathematics Conference. They had a vote to determine the location of the conference. There are 4 locations to choose from. (A) Auckland (B) Blenheim (C) Clyde (D) Dunedin Below is the preference schedule giving the voters preference in this election. Number of Votes 12 10 4 C CD 1st Choice 2nd Choice 3rd Choice 4th Choice А B D C C D В В В A A | A A (a) Find the winner, if any, by the method of Pairwise Comparison. Show your working. (b) Find the winner by the method of plurality with elimination. Show your working.

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