The numbers 1-10 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 just give me a straight answer

Guest Oct 15, 2020

#3**+1 **

(1+2+3+4+5)(6+7+8+9+10) = 15*40 = 600 smallest

Now if the numbers that are multiplied are as close as possible that will give the biggest product.

1+2+3+4+5+6+7+8+9+10=55 = 54+1

half of 54 = 27

So one will be 27 and the other 28

I also notice that

1+10=11 first bracket

2+9=11 second bracket

3+8=11 first

4+7=11 second

5+6=11

you can finish it.

Melody Oct 19, 2020