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Catherine rolls a 6-sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)

 Jun 27, 2021
 #1
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+1

The factors are 2, 2, 3, 5, 5.  There are 5!/(2!*2!) = 30 ways to order them, so the answer is 30.

 Jun 27, 2021
 #2
avatar+18 
+1

Are those the only factors? I mean there is also lik 6, 5, 2, and 5 and many more combinations, so I don't think it's 30.

 Jun 27, 2021
 #3
avatar+114812 
+2

I get 150, see if that works.

 Jun 27, 2021
 #4
avatar+18 
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Yeah that works, thanks so much!

 Jun 27, 2021

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