Catherine rolls a 6-sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)
The factors are 2, 2, 3, 5, 5. There are 5!/(2!*2!) = 30 ways to order them, so the answer is 30.
Are those the only factors? I mean there is also lik 6, 5, 2, and 5 and many more combinations, so I don't think it's 30.