Dominoes
A pack of dominoes uses the numbers 0 to 9 inclusive, and contains 55 dominoes. Assuming that each of the numbers (0 through 9) appears on the dominoes the same amount of times, can you make a complete ring with the dominoes , where the number on each side of the domino matches the number on the domino next to it(like in a game of dominoes).
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1 solution
There are 55 dominoes, each with 2 numbers on, so in total there are 55x2=110 numbers. There are 10 numbers including 0 and 9 so there is 110/10=11 of each number in total. To make a ring, there must be an even amount of each number so they can pair up. 11 is not even, so this cannot be done.