Catherine rolls a standard 6-sided die six times, and the product of her rolls is \(2500\). How many different sequences of rolls could there have been? (The order of the rolls matters.)
You have 2 combinations as follows:
145555 ==6! / 4! ==30 permutations
225555 ==6! / 4!2! ==15 permutations
Total ==30 + 15 ==45 different sequences of rolls.
