Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $300,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
300 = 10^2 * 3 = 2 * 2 * 5 * 5 * 3 * 1
No. of different sequences = 6! / [ (no. of 2s )! * (no. of 5s )! ] = 6! / [ 2! * 2! ] = 720 / 4 = 180
+570 
