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Catherine rolls a standard 6-sided die six times. If the product of her rolls is 60 then how many different sequences of rolls could there have been? (The order of the rolls matters.)

 Aug 5, 2024
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Catherine rolls a standard 6-sided die six times. If the product of her rolls is 60 then how many different sequences of rolls could there have been? (The order of the rolls matters.)    

 

5 6 2 1 1 1     6P6 = 720    

5 3 4 1 1 1     6P6 = 720    

5 3 2 2 1 1     6P6 = 720    

 

Add them up.   

By my reckoning, 2160 different sequences.     

.   

 Aug 6, 2024

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