To find the best possible solution and maximize the product, you need to consider the place value of each digit. The higher the place value, the more it contributes to the overall product.
In this case, we want to maximize the product, so it makes sense to put the highest digits in the higher place values. This way, they have a greater impact on the product.
Let's break it down:
First, identify the highest available digit, which is 9. Since we want to maximize the product, it would be logical to place 9 in the thousands place.
Now, we are left with the remaining five digits: 1, 2, 4, 6, and 8.
Next, we need to consider the next highest available digit, which is 8. Since we've placed the 9 in the thousands place, we can now place the 8 in the hundreds place.
Now, we are left with four digits: 1, 2, 4, and 6.
To maximize the product, it would be ideal to place the remaining digits in increasing order.
So, continuing in this manner, we would place 6 in the tens place, followed by 4 in the ones place, 2 in the ten-thousandths place, and 1 in the hundred-thousandths place.
The final arrangement would be:
9 8 6 x 4 2 1
By arranging the digits in this way, with the highest digits in the highest place values, we can determine the best solution and achieve the maximum product.