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?

Thanks!,

PharoaCarl

PharaoCarl Mar 11, 2020

#3**0 **

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?

PharaoCarl Mar 11, 2020

#5**0 **

Yes, better.

I think it will be at its biggest when the two numbers are as close in value as possible.

And it will be at its smallest when the two numbers are as far apart as possible.

You can do it now.

Melody Mar 11, 2020

#6**+1 **

Thanks for the help. Just want to double-check with the master of all math (), the Maximum Value of P is 756 and the minimum value of P is 600 right?

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

Minimum= (10+9+8+7+6)(5+4+3+2+1)=600

This is correct right?

Thanks,

PharaoCarl

PharaoCarl Mar 12, 2020