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Catherine rolls a standard 6-sided die six times. If the product of her rolls is 200, then how many different sequences of rolls could there have been? (The order of the rolls matters.)

 Apr 10, 2024
 #1
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200 =  2^3 * 5^2 * 1   =  2*2*2*5*5*1

 

No. of distinct  sequences  =

 

6! / [ No. of times 2 appears ! * No. of times 5 appears ! ]

 

6! / (3! * 2!)  =   60

 

cool cool cool

 Apr 10, 2024

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