A poll of 31 sports writers is conducted ranking the four best teams in the Big Ten football conference, namely Rutgers, Ohio State, Michigan, and Penn State (we can think so, anyway). If all the sports writers vote honestly, the following preference table results: # of votes 8 11 5 7 1st choice Rutgers Ohio State Penn State Michigan 2nd choice Ohio State Penn State Michigan Rutgers 3rd choice Michigan Rutgers Ohio State Penn State 4th choice Penn State Michigan Rutgers Ohio State If all voters cast ballots as indicated in the preference table above except for the block of 8 voters who rank Rutgers highest, how can these 8 voters change their own ballots to make Rutgers the #1 team overall? [This is an instance of "insincere" or "strategic" voting.] Their ballots should now be: