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7 . Problems and Applications Q7

Three friends are choosing a TV show to watch. Here are their preferences:

	Frances	Antonio	Caroline
First choice	Outcast	Limitless	Containment
Second choice	Limitless	Containment	Outcast
Third choice	Containment	Outcast	Limitless

If the three friends were to use a Borda count to make their choice, what would happen?

a) They would choose to watch Containment.

b) They would choose to watch Limitless.

c) They would choose to watch Outcast.

d) There would be a tie among the three television shows.

Frances suggests a vote by majority rule. She proposes that first they choose between Limitlessand Containment, and then choose between the winner of the first vote and Outcast. Assume they all vote their preferences honestly.

In a vote between Limitlessand Containment,______________ would win. In a vote between the winner of the first vote and Outcast, _______________would win.

If Antonio agrees to Frances's suggestion, he will get his first choice.

True

OR

False

Caroline and Frances convince Antonio to go along with Frances's proposal. In round one, Antonio dishonestly says he prefers Containmentover Limitless.

Since Antonio lies, in a vote between Limitlessand Containment, ____________ will now win. In a vote between the winner of the first vote and Outcast, __________ will win.

True or False: Antonio is better off lying than telling the truth about his preference between Limitlessand Containment.

True

OR

False