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Catherine rolls a standard 6-sided die five times, and the product of her rolls is 100. How many different sequences of rolls could there have been? (The order of the rolls matters.) 

 May 11, 2023
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There are 2 combinations as follows:

 

11455 ==5!/2!2! == 30 permutations

12255==5!/2!2!  == 30 permutations

 

Total ==30  +  30 ==60 different sequences of rolls.

 May 11, 2023

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