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APMOPS 2010 Question 11

APMOPS · APMOPS 2010

Question 11

Twenty five boys position themselves in a 5 by 5 formation such that the distances between two adjacent boys in the same row or the same column are equal to 1 m. The two dark circles indicate a pair of boys whose distance is exactly 5 m. Given that there are $n$ pairs whose distance apart are exactly 5 m, find the value of $n$.

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