Catherine rolls a standard 6-sided die six times. If the product of her rolls is 200, then how many different sequences of rolls could there have been? (The order of the rolls matters.)
200 = 2^3 * 5^2 * 1 = 2*2*2*5*5*1
No. of distinct sequences =
6! / [ No. of times 2 appears ! * No. of times 5 appears ! ]
6! / (3! * 2!) = 60
+279 
