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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.)

 Sep 12, 2024
 #1
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To find the total sequences just find how many ways there are to order 1, 2, 3, 4, 5, 6, 6.

This is 7!/2! = 2520

 Sep 13, 2024

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