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 only 2 combinations as follows:
145555 ==6!/4! ==30 permutations
225555 ==6!/4!2!==15 permutations
Total ==30 + 15 ==45 different sequences of rolls.
