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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_23 / When n standard six-sided dice are rolled, the product of the numbers rolled can be any of 936 possible values. What is n?

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problem

When nn standard six-sided dice are rolled, the product of the numbers rolled can be any of 936936 possible values. What is nn?
Plain-text mathematical notation (without MathML)
When n standard six-sided dice are rolled, the product of the numbers rolled can be any of 936 possible values. What is n?
Original LaTeX notation
When $n$ standard six-sided dice are rolled, the product of the numbers rolled can be any of $936$ possible values. What is $n$?

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