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.)

124556 ( 360 ) , 134455 ( 180 ) , 222556 ( 60 ) , 223455 ( 180 ) , >>Total combinations = 4

>>Totals in parentheses = 780 permutations