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.)
+2668 The prime factorization of 300 is \(2 \times 2 \times 3 \times 5 \times 5\).
There are \({5! \over 2! 2!} = \color{brown}\boxed{30}\) ways to order these.
