Question 1190549
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The number of all possible outcomes is  6*6*6 = {{{6^3}}} = 216  in this situation.


There are 6 possible outcomes for each colored fair die, independently.
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Solved and explained.



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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You may ask me, &nbsp;what is the role of coloring ?



It makes all &nbsp;216 &nbsp;outcomes distinguishable.


Had the three dice be undistinguishable &nbsp;(identical), &nbsp;then some &nbsp;(~ many) &nbsp;of &nbsp;216 &nbsp;outcomes would be undistinguishable;

so then the total number of distinguishable outcomes would be less than &nbsp;216.