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A standard six-sided die is rolled $7$ times.  You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s.  How many possible sequences of rolls could there have been?  (For example, 2, 3, 4, 6, 6, 1, 5 is one possible sequence.)

 Dec 23, 2023
 #1
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1,2,3,4,5,6,6

 

Number of possible identifiable sequences = 

 

(Number of rolls) !  / (Number of any repeats ) !   =      7! / 2!  =    2520

 

cool cool cool

 Dec 24, 2023

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