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

 Jun 12, 2023
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There are only 2 combinations as follows:

 

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

225555 ==6!/4!2!==15 permutations

 

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

 Jun 12, 2023

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