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?

BIGChungus Nov 25, 2019

#1**-2 **

**Please do not discuss this problem!** This is an active homework problem.

To the original poster: I realize that homework may be challenging. If you wish to receive some help from the staff or other students, I encourage you to use the resources that the online classes provide, such as the Message Board. Thanks.

wonderman Nov 25, 2019

#2**+1 **

Bro I already tried the message board I just didn't get the help I needed, chill out man

BIGChungus Nov 25, 2019

#3**+2 **

I am considering this.

5*5=25

4*6=24

3*7=21

2*8=16

1*9=9

Each time the two numbers add to 10.

Their product seems to be at its biggest when the two numbers are the same.

The more different the two numbers are, the smaller the product appears to get.

So, I think you should be able to extend this observation in order to answer (or at least attmpt to answer) your question.

Melody Nov 25, 2019