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.)
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.