In a ranked choice voting system each voter gives a rank from highest to lowest to all the candidates . No two candidates are assigned the same rank . For example , if we have candidates A,B.C .

Voter 1 assigns ranks ABC ( highest to A , then B , then lowest rank to C)

Voter 2 assigns ranks BAC ( highest to B , then A , then lowerst rank to C )

Voter 3 assignes ranks BCA ( highest to B , then A , then lowerst rank to C )

The winning candidate here is B as it has highest majority . 

Now , in case if the ranks are assigned as : 

Voter 1 assigns ranks ABC 

Voter 2 assigns ranks BAC 

Voter 3 assignes ranks ACB 

Voter 4 assigns ranks BCA 

Voter 5 assigns ranks CAB 

Now we have a tie  between A and B for the first rank . In this case we remove the candidate  with minimum votes ( C from CAB ) and then count again to see if we have a majority candidate . If no majority candidate is seen , again remove the element with minimum rank . Keep going till you have a majority candidate or no candidate left to be removed . 

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