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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?

 Feb 25, 2020
 #1
avatar+24692 
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Not positive

but I think the biggest would be

(1 4 5 8 9 ) ( 2 3 6 7 10) = 756

 

smallest would be

 

(1 2 3 4 5 ) ( 6 7 8 9 10)   = 600

 Feb 25, 2020

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