Catherine rolls a 6-sided die five times, and the product of her rolls is \(1500\). How many different sequences of rolls could there have been? (The order of the rolls matters.)
25556 , 25565 , 25655 , 26555 , 34555 , 35455 , 35545 , 35554 , 43555 , 45355 , 45535 , 45553 , 52556 , 52565 , 52655 , 53455 , 53545 , 53554 , 54355 , 54535 , 54553 , 55256 , 55265 , 55345 , 55354 , 55435 , 55453 , 55526 , 55534 , 55543 , 55562 , 55625 , 55652 , 56255 , 56525 , 56552 , 62555 , 65255 , 65525 , 65552 , Total = 40 different sequences.
