Catherine rolls a six-sided die five 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.)
Did you look under your first post?
1200 factors as 2^4 * 3 * 5^2 = 2 * 2 * 2 * 2 * 3 * 5 * 5 = 4 * 4 * 3 * 5 * 5
So....the number of different identifiable roll sequenes =
5! 120
_______ = ____ = 30
2! * 2! 4