Asterix for President!

At the end of a presidential election, there is a 4 way tie. It's between the four candidates Asterix, Bernie, Clinton, and Donald. (Any resemblance to actual candidates is purely coincidental! :) )

It is to be decided by a final vote between three randomly selected citizens of the country.

The process proceeds as follows:

The voters are first all asked to decide between Asterix and Clinton. Clinton wins!

Then they are asked to decide between Bernie and Clinton. Bernie wins!

Finally, they are asked to decide between Bernie and Donald. Donald wins!

So, Donald is declared president.

However, if one final poll was taken, Asterix vs. Donald, what is the greatest number of people (out of the three) that could prefer Asterix over Donald?


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1 solution

Geoff Pilling
May 14, 2016

Its a surprising outcome, but if the voters' preferences (first initial, highest to lowest) were as follows:

Voter #1: CADB

Voter #1: BCAD

Voter #1: ADBC

Then, by the method used, Donald would win. However, unanimously everyone prefers Asterix over Donald!

So, Asterix for president with 3 \boxed3 votes! :)

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