Five players agree to divide a cake fairly using the last diminisher method. The players play in the following order: Anne first, Betty second, Cindy third, Doris fourth and Ellen last. Suppose that there are no diminishers in round 1 and Cindy and Doris are the only diminishers in round 2
1: which player gets her fair share at the end of round 1 ?
2: which player gets her fair share at the end of round 2 ?
3: how many rounds are required to divide the cake among five people ?
1: In round 1, Anne, the first player, gets her fair share of the cake.
2: In round 2, Cindy and Doris are the only diminishers. Therefore, they will get their fair shares of the remaining cake at the end of round 2.
3: Since there are five players, it takes a maximum of five rounds to divide the cake among them. In this scenario, the cake is divided among all players within two rounds.
To answer these questions, let's go step by step:
1. In the last diminisher method, each player takes turns making a cut on the cake without actually taking a piece until it's their turn to take their fair share. Since there are no diminishers in round 1, every player makes a cut but no one takes a piece. So, at the end of round 1, no player gets their fair share.
2. In round 2, Cindy and Doris are the only two diminishers. As diminishers, they are allowed to take a piece of the cake during their turn. Since it's round 2, Anne, Betty, and Cindy have made their cuts in round 1 and it's now Doris' turn to take a piece. Therefore, at the end of round 2, only Doris gets her fair share.
3. To determine how many rounds are required to divide the cake among five people, we need to consider the number of diminishers. In each round, there can only be one diminisher. Since Cindy and Doris are the only diminishers in round 2, it means that Anne, Betty, and Cindy have already made their cuts in previous rounds, and it's now Doris' turn. Therefore, for each player to have a turn as a diminisher, we need a minimum of 5 rounds. So, in this case, it requires 5 rounds to divide the cake among five people.
ha ha
( ͡° ͜ʖ ͡°)
aasdas