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**Moustafa Ahmed****Guest**

Need help with this prolem.Tick, Trick, and Track have 20, 23, and 25 tickets, respectively, for the carousel

at the fair in Duckburg. They agree that they will only ride all three

ride together, for which they must each give up one of their tickets.

tickets. In addition, before a ride, they can, if they wish, give tickets to each other as many times as they like according to

redistribute tickets among themselves as often as they like according to the following rule: If one has an

even number of tickets, he can give half of his tickets to any of the other two.

to any of the other two.

Can it happen that after any trip

(a) exactly one has no ticket left,

(b) exactly two have no ticket left,

(c) all tickets are given away?

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