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# math help please!

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The numbers $1,$ $2,$ $\dots,$ $10$ 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 $P$?

Jul 17, 2020

### 1+0 Answers

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Hint: Use AM-GM inequality. which states that $$\frac{x+y}{2}\geq\sqrt{xy}$$. (You can prove this with the trivial inequality. )

Aug 7, 2020