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Catherine rolls a standard 6-sided die six times, and the product of her rolls is \(10\). How many different sequences of rolls could there have been? (The order of the rolls matters.)

 May 21, 2023
 #1
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780 different sequence of rolls

 May 21, 2023
 #2
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There is one combination only as follows:

 

111125 ==6! / 4! ==30 different sequences of rolls.

 May 21, 2023

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