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The numbers 1, 2, ... , 10 are to be entered into the 10 boxes shown below, so that each number is used exactly once:

\(P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\)

What is the maximum value of P? What is the minimum value of P?

 Mar 2, 2020
 #1
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The maximum value is 274, and the minimum value is 60.

 Mar 3, 2020

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