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#1 Re: Puzzles and Games » 21 Marbles in 3 hats » 2012-08-20 01:18:25

smile
If a hat has all the marbles then you must start again from the initial conditions of 11, 6 and 4.

If a hat becomes empty, you can refill it according to the same rules, but you can't have 'negative' marbles in a hat.

#2 Puzzles and Games » 21 Marbles in 3 hats » 2012-08-19 18:51:58

mbop
Replies: 22

Find the solution for the following: There are 3 hats with 11, 6, and 4 marbles, respectively. On a single move we can remove one marble from one of the hats, one marble from some other hat, and place both removed marbles to the third hat. Can we reach a situation where there are 7 marbles in each hat after some number of moves? If so, show the way. If not, provide some argument why not?

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