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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 26, 2020
 #1
avatar+20768 
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My only suggestion would be to keep trying (the only way that I know) until you get the correct answers.

Since you have been given the correct answers, you will know when to stop.

If you would the correct answers in your question, more people might want to try the problem.

 Mar 26, 2020
 #2
avatar+626 
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To obtain the largest value, you have to make the two values wrapped in paranthesis as close as possible.

 

To obtain the smallest value, you have to make the two values wrapped in paranthesis as far as possible.

 Mar 26, 2020
 #3
avatar+1948 
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Nice hints!

CalTheGreat  Mar 26, 2020
edited by CalTheGreat  Mar 26, 2020

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