On a table there is a row of 100 coins. Alice picks a coin from one end and puts it in her pocket; then Bob picks another coin from one of the remaining ends. The game continues until Bob picks the last coin. Show that Alice has a strategy which g...
There are so many problems with guys sitting in a circle, each wearing a white or a black hat, that one can write a book about them. Here is one cute puzzle of this kind I've recently heard: 20 persons sit in a circle, each of them has a hat. Eac...
Do you like puzzles? Try your hand below. A) What is the maximum number of Knights that can be placed on a chess board such that no two Knights attack each other? The answer might be easy to find, but can you prove it? B) What if we relax the co...
