Problem 5...................................(just to reach minimum character limit)

Question

mycroft holmes · Answer

Part (a) is simple to disprove. Just arrange the numbers 64, 63,...,57 along the diagonal in descending order (i.e. 64 in a 1,1 , 63 in a 2,2 ,..., 57 in a 8,8 ). That way there will be no interesting number.

mycroft holmes · Answer

Part (b) Suppose p and q are two such numbers that are interesting in row r and s resp. WLOG p>q Consider p ’ in row s and in the same col as p. Then q>p’>p which is a contradiction. Hence at most 1 interesting number can be there.

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Problem 5...................................(just to reach minimum character limit)

Problem 5...................................(just to reach minimum character limit)

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Problem 5...................................(just to reach minimum character limit)

Problem 5...................................(just to reach minimum character limit)

2 Answers

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