SOLUTION: 3 dice of different colors are rolled, and the number coming up on each die is recorded. How many different outcomes are possible?

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Question 354647: 3 dice of different colors are rolled, and the number coming up on each die is recorded. How many different outcomes are possible?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
There are 6 ways to toss the first die.
For each of these 6 ways there are 6 ways to toss the second die.
That's 6*6 or 36 ways to toss the first two dice.  For each of the
6*6 or 36 ways to toss the first two dice, there are 6 ways to toss the
third die.  That 6*6*6 or 35*6 or 216 possible rolls.

Here are all 216 rolls.:


(1,1,1) (1,1,2) (1,1,3) (1,1,4) (1,1,5) (1,1,6)

(1,2,1) (1,2,2) (1,2,3) (1,2,4) (1,2,5) (1,2,6)

(1,3,1) (1,3,2) (1,3,3) (1,3,4) (1,3,5) (1,3,6)

(1,4,1) (1,4,2) (1,4,3) (1,4,4) (1,4,5) (1,4,6)

(1,5,1) (1,5,2) (1,5,3) (1,5,4) (1,5,5) (1,5,6)

(1,6,1) (1,6,2) (1,6,3) (1,6,4) (1,6,5) (1,6,6)

-----------------------------------------------

(2,1,1) (2,1,2) (2,1,3) (2,1,4) (2,1,5) (2,1,6)

(2,2,1) (2,2,2) (2,2,3) (2,2,4) (2,2,5) (2,2,6)

(2,3,1) (2,3,2) (2,3,3) (2,3,4) (2,3,5) (2,3,6)

(2,4,1) (2,4,2) (2,4,3) (2,4,4) (2,4,5) (2,4,6)

(2,5,1) (2,5,2) (2,5,3) (2,5,4) (2,5,5) (2,5,6)

(2,6,1) (2,6,2) (2,6,3) (2,6,4) (2,6,5) (2,6,6)

-----------------------------------------------

(3,1,1) (3,1,2) (3,1,3) (3,1,4) (3,1,5) (3,1,6)

(3,2,1) (3,2,2) (3,2,3) (3,2,4) (3,2,5) (3,2,6)

(3,3,1) (3,3,2) (3,3,3) (3,3,4) (3,3,5) (3,3,6)

(3,4,1) (3,4,2) (3,4,3) (3,4,4) (3,4,5) (3,4,6)

(3,5,1) (3,5,2) (3,5,3) (3,5,4) (3,5,5) (3,5,6)

(3,6,1) (3,6,2) (3,6,3) (3,6,4) (3,6,5) (3,6,6)

-----------------------------------------------

(4,1,1) (4,1,2) (4,1,3) (4,1,4) (4,1,5) (4,1,6)

(4,2,1) (4,2,2) (4,2,3) (4,2,4) (4,2,5) (4,2,6)

(4,3,1) (4,3,2) (4,3,3) (4,3,4) (4,3,5) (4,3,6)

(4,4,1) (4,4,2) (4,4,3) (4,4,4) (4,4,5) (4,4,6)

(4,5,1) (4,5,2) (4,5,3) (4,5,4) (4,5,5) (4,5,6)

(4,6,1) (4,6,2) (4,6,3) (4,6,4) (4,6,5) (4,6,6)

-----------------------------------------------

(5,1,1) (5,1,2) (5,1,3) (5,1,4) (5,1,5) (5,1,6)

(5,2,1) (5,2,2) (5,2,3) (5,2,4) (5,2,5) (5,2,6)

(5,3,1) (5,3,2) (5,3,3) (5,3,4) (5,3,5) (5,3,6)

(5,4,1) (5,4,2) (5,4,3) (5,4,4) (5,4,5) (5,4,6)

(5,5,1) (5,5,2) (5,5,3) (5,5,4) (5,5,5) (5,5,6)

(5,6,1) (5,6,2) (5,6,3) (5,6,4) (5,6,5) (5,6,6)

-----------------------------------------------

(6,1,1) (6,1,2) (6,1,3) (6,1,4) (6,1,5) (6,1,6)

(6,2,1) (6,2,2) (6,2,3) (6,2,4) (6,2,5) (6,2,6)

(6,3,1) (6,3,2) (6,3,3) (6,3,4) (6,3,5) (6,3,6)

(6,4,1) (6,4,2) (6,4,3) (6,4,4) (6,4,5) (6,4,6)

(6,5,1) (6,5,2) (6,5,3) (6,5,4) (6,5,5) (6,5,6)

(6,6,1) (6,6,2) (6,6,3) (6,6,4) (6,6,5) (6,6,6)

Edwin
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