Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $6,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $6,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
1 1 1 1 1 6 1 1 1 1 2 3 1 1 1 1 3 2
1 1 1 1 6 1 1 1 1 2 3 1 1 1 1 3 2 1
1 1 1 6 1 1 1 1 2 3 1 1 1 1 3 2 1 1
1 1 6 1 1 1 1 2 3 1 1 1 1 3 2 1 1 1
1 6 1 1 1 1 2 3 1 1 1 1 3 2 1 1 1 1
6 1 1 1 1 1
Looks like 16 ways to me, if I haven't missed any.
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