Catherine rolls a 6-sided die six times, and the product of her rolls is 1200. How many different sequences of rolls could there have been? (The order of the rolls matters.)
1200 = 2^4 * 3 * 5^2 ==124556, 134455, 223455, 222556 [combinations] ==360 + 180 + 180 + 60==780 permutations or different sequences.
