# Rolling 6-sided die

A 6-sided die has the numbers $$0,3,5,7,11,13$$ printed on its sides. If the die is rolled 5 times, how many different values can the product of the rolls have?

Details and assumptions

If the dice showed $$3, 5, 7, 11, 13$$ in the rolls, then the product of the rolls is $$15015$$.

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