+216 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.)
+3289
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.)
The rolls could have consisted of
1 1 2 5 5 6 ==>> there could be 6P6 different sequences = 720
1 1 3 4 5 5 ditto = 720
1 2 2 3 5 5 ditto = 720
total number of different sequences = 2160
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