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Did You Find Out? Get the Answer to the Riddle of E-News Issue No. 2, April 2024

2024-04-11

Bunny Race

Bunny ears in meadow

Eight rabbits want to race against each other. As the rabbits are good friends, they want to be fair. That's why they want to hold as many races as necessary until each bunny has finished faster than every other bunny at least once. However, not every bunny has to win the race once.

What is the minimum number of races the rabbits have to compete in?


Solution

The rabbits must compete in at least two races. With the second race, they can already achieve their goal of each rabbit finishing faster than every other rabbit at least once—if the order is exactly the opposite of the first race. The rabbit that finished last the first time would now be faster than all the others. The bunnies in the middle places would be slower than all the bunnies they had previously won against, but faster than all the other bunnies they had previously lost against.


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