I would really appreciate some help with this problem:
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are to be entered into the 10 boxes, 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?
I was trying to solve this problem by using quadratics, and I was able to find the maximum but I am not sure how to find the minimum.
Could you please explain how you solved it? I got a different answer. Thanks