Due February 28

This problem is solved by careful logic; working an example may help. We consider this to be a medium problem, worth 15 points. Send answers and questions to mathstat@uoguelph.ca

A group of 25 students are placed in a five by five square. We record the height of the tallest person in each row and of the shortest person in each column. Let x be the largest of five shortest heights and y be the smallest of the five tallest heights. Is it possible to find an example where x is greater than y?

Send your answer to mathstat@uoguelph.ca

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