+33 A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, 2 two's, and 3 three's. How many possible sequences of rolls could there have been? (For example, 1,2,3,3,2,3 is one possible sequence.)
+129852 This is equivalent to finding out how many identifiable sequences can be made from 1,2,2,3,3,3
This is given by
Number of values !
_______________________________________ =
(Repeated values of 2) ! (Repeated values of 3)!
6! 720 720
_____ = _____ = _____ = 60 identifiable sequences
2! 3! 2 * 6 12
