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

 

41 and 120 are sadly wrong...

 May 3, 2020
edited by Guest  May 3, 2020
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Well, you are told that you had this sequence: 1, 2, 2, 3, 3, 3. You can permute this sequence into:

6! / 2!.3! = 60 permutations, or sequences.

 May 3, 2020

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