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Catherine rolls a six-sided die five times, and the product of her rolls is 1200  How many different sequences of rolls could there have been? (The order of the rolls matters.)

 Jul 9, 2020
 #1
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Did you look under your first post?

 Jul 9, 2020
 #2
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1200  factors  as      2^4 * 3  * 5^2 =   2 * 2 * 2 * 2 * 3 * 5 * 5  =  4 * 4 * 3 * 5 * 5

 

So....the number of different identifiable roll sequenes  =

 

        5!                        120      

    _______  =            ____    =     30

     2!  * 2!                      4

 Jul 12, 2020

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