Catherine rolls a standard 6-sided die five times, and the product of her rolls is 100. How many different sequences of rolls could there have been? (The order of the rolls matters.)
There are 2 combinations as follows:
11455 ==5!/2!2! == 30 permutations
12255==5!/2!2! == 30 permutations
Total ==30 + 30 ==60 different sequences of rolls.
