Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $6,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
Possibilities
1 1 1 1 1 6 = 6 different sequences possible
1 1 1 1 2 3 = 6! / 4! = 30 different sequences possible
36 different sequences
+452 
