Enter 999999 into your calculator, then divide it by seven. Now toss a die (or randomly pick

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Enter 999999 into your calculator, then divide it by seven.

Now toss a die (or randomly pick a number from 1 through 6) and multiply this number by the displayed calculator number.

Arrange the digits of the product from lowest to highest (from left to right). What is this six-digit number? 

Explain how you arrived at your answer, and discuss whether you arrived at your result empirically, by induction, or by deduction.

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