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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.)

 Mar 12, 2021
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Here's what I get

 

1  2  5   5   6     identifiable sequencwa  =  5 !  / 2 !  =   60

 

2  2  3  5   5     identifiable sequences  = 5 !  / (2! * 2!)  =  30

 

1 3  4  5   5      identifiable sequences  =  5 ! / 2 !  =   60

 

=  150  sequences  

 

 

cool cool cool

 Mar 13, 2021

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