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Catherine rolls a 6-sided die four 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.)

 Aug 23, 2021
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4! ==24 such sequences as follows:

 

2556 , 2565 , 2655 , 3455 , 3545 , 3554 , 4355 , 4535 , 4553 , 5256 , 5265 , 5345 , 5354 , 5435 , 5453 , 5526 , 5534 , 5543 , 5562 , 5625 , 5652 , 6255 , 6525 , 6552 , Total =  24 such sequences.

 Aug 24, 2021

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