(d) and (b) relate to s impossibility theorem? 7. Three friends are choosing a TV show to watch. Here are their preferences: Chandler Phoebe Monica First choice NCIS Glee Homeland Second choice Glee Homeland NCIS Third choice Homeland NCIS Glee a. If the three friends try using a Borda count to make their choice, what would happen? b. Monica suggests a vote by majority rule. She pro- poses that first they choose between NCIS and Glee, and then they choose between the winner of the first vote and Homeland. If they all vote their prefer- ences honestly, what outcome would occur? c. Should Chandler agree to Monica's suggestion? What voting system would he prefer? d. Phoebe and Monica convince Chandler to go along with Monica's proposal. In round one, Chandler dishonestly says he prefers Glee over NCIS. Why might he do this