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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 2's, and two 3's, and one 4. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,4,2 is one possible sequence.)

 Apr 10, 2022
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1, 2, 2, 3, 3, 4 ==6 digits

 

6! / [2!2!] ==180 - number of possible sequences of rolls.

 Apr 10, 2022

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