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Mathematics, 14.09.2019 05:30 Hakika

Three pirates must divide 100 gold doubloons. the doubloons cannot be cut into pieces. pirate a is the strongest, followed by pirate b, followed by pirate c. because of ancient pirate tradition, the coins are divided in the following manner. first pirate a proposes a division of the coins. the three pirates then vote on whether to accept the proposed division. if the proposal gets a majority vote, it is accepted, and the game is over. if the proposal fails to get a majority vote, pirate a is executed. it is then pirate b's turn to propose a division of the coins between the two remaining pirates. the same rules apply, with one exception: if the vote is a tie, pirate b, being the strongest remaining pirate, gets an additional vote to break the tie.
if we assume that in any proposal there are no doubloons left over, how many different proposals could pirate a make?

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Three pirates must divide 100 gold doubloons. the doubloons cannot be cut into pieces. pirate a is t...

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