A cake is to be divided among seven players P1, P2, . . . , P7, using the claim-

Question

A cake is to be divided among seven players P1, P2, . . . , P7, using the claim-and-challenge method. They decide to proceed in the following manner: in the ?rst round, P1 goes ?rs, P2 goes second, etc. In the second round they reverse the order, so P7 goes ?rst, P6 goes second, etc. They keep reversing the order after every round. In the ?rst round, there are no challenges. In the second round, P5 and P4 are the only challengers. In the third round, P6 is the only challenger. a) Who gets a piece of cake at the end of the second round? b) What players take part in the fourth round? Which one of them makes the ?rst claim? c) What player has a chance to make the last challenge in the fourth round?

Explanation / Answer

a) P4 b)P1,P2,P3,P7 P7 makes the first claim c)P1

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