Help plz

Catherine rolls a standard 6-sided die six times. If the product of her rolls is \(2500\), then how many different sequences of rolls could there have been? (The order of the rolls matters.)

There are 2 combinations as follows:

145555 ==6!/4! ==30 permutations

225555==6!/4!2!==15 permutations

Total == 30  +  15 ==45 different sequences of rolls.