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Catherine rolls a standard $3$-sided die six 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.)

 Jul 8, 2024
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Catherine rolls a standard $3$-sided die six 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.)   

 

I can't find on the internet, what the numbers are on a "standard" 3-sided die.  

 

A couple of sites said the faces are 1, 2, and 3.   

Other places said the faces have other numbers.   

 

The prime factors of 600 are 2, 3, and 5.  

Of course, 1 is a factor of 600, but by definition 1 is not a prime number.   

 

If the numbers on the die are 1, 2, and 3, you can't get there from here.   

.

 Jul 10, 2024

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