SOLUTION: Three indistinguishable dice are rolled at the same time, and three numbers are noted(without regard to order.) how many different outcomes are possible? [ consider three cases: th

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Question 473196: Three indistinguishable dice are rolled at the same time, and three numbers are noted(without regard to order.) how many different outcomes are possible? [ consider three cases: the numbers are all different; two of the numbers are the same and the other is different, and all three are equal]
a. 216
b. 41
c. 186
d. 56
e. 120
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
[ consider three cases: the numbers are all different; two of the numbers are the same and the other is different, and all three are equal]

If the three numbers are all different:  C(6,3) = 20
If two of the numbers are the same and the other is different: 6*5 = 30 ways
If all three are equal: 6 ways

Answer 20+30+6 = 56

Edwin