Originally posted by apathist
Show your work, please.
OK, although the voters are only required to vote for their favorite candidate, we can infer that they had in mind an order of preference. This is seen from the Q&As after the vote. So let's see what would have happened if they had been asked to rank the 3 candidates in order of preference.
From the questions and answers:
1) A would be placed last by 59 voters, C last by 18 voters, and therefore P would be ranked last by the other 23.
2) 50 people said they would have voted for C, if they had been required to change their vote. This implies that 50 voters would have ranked her second, if they had been required to rank all 3 candidates. Also, the "margin of two votes" means that either A or P would be ranked second by 48 voters.
3) As we already know that A is placed last by 59, there cannot be another 48 people who put her second. So P is ranked second by 48 and therefore A is placed second by only 2 voters.
4) Now we know the first preferences must have been A39, C32, P29