# maximize product of two numbers formed with the digits $1$ to $9$

You are given the digits from $1$ to $9$. You can form two numbers by concatenating them, for example, $975123$ and $864$, and then take the product of the two resulting numbers. Find how to maximize the product.

To give you a hint, the answer is $87531\cdot9642$.

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possibilities = Map[FromDigits[Reverse[#]] &,