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Catherine rolls a standard 6-sided die six times, and the product of her rolls is \(2500\).  How many different sequences of rolls could there have been?  (The order of the rolls matters.)

 May 19, 2023
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You have 2 combinations as follows:

 

145555 ==6! / 4!      ==30 permutations

225555 ==6! / 4!2!  ==15 permutations

 

Total ==30  +  15 ==45 different sequences of rolls.

 May 19, 2023

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