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Catherine rolls a standard $6$-sided die three times.  If the product of her rolls is $600,$ then how many different sequences of rolls could there have been?  (The order of the rolls matters.)

 Jun 25, 2024
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Catherine rolls a standard $6$-sided die three times.  If the product of her rolls is $600,$ then how many different sequences of rolls could there have been?  (The order of the rolls matters.)   

 

If Catherine rolls the largest side of the die all three times,   

then the product of her three rolls would be 6 • 6 • 6 = 216.  

 

There's no way to get a product of 600 with only three rolls.  

.

 Jun 25, 2024

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