+53 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
+53 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?
+118677 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.
+53 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
