Solution to: Cards with Crosses

Take 14 cards from the stack. Of these 14 cards, k cards are with the cross up and therefore 14-k cards are with the circle up. In the remaining stack of 9 cards are 14-k cards with a cross up.

Then turn the stack of 14 cards round. Now there are 14-k cards with a cross up in both stacks.

Note that we do not know exactly how many cards are lying with a cross up in both stacks (or how many cards are lying with a circle up). We only know that both stacks have the same number of cards with a cross up.

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