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The numbers \(1, 2, \dots, 10\) 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 1, 2020
 #1
avatar+108687 
+3

 

1+2+3+4+5+6+7+8+9+10 = 55

55/2 = 27.5

So I want 27*28

(10 +9+1+3+4)*(7+8+2 +6+5) = 756    biggest maybe

 

(10+9+8+7+6)*(5+4+3+2+1) = 600       smallest maybe

 Mar 1, 2020

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