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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 $P$?

 

PLEASE no one pretend to be me! :(

 

Thank you so so so much in advance!!!

 Dec 8, 2020
 #1
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The answer is 55

 Dec 8, 2020
 #2
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I actually needed an explanation.... sorry....

 Dec 8, 2020
 #3
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oops since 3 to 10 are the biggest integers so you use them and (3 +5+7+10)(4+6+8+9) is the answer

 Dec 8, 2020

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