How many possibilities are there of rolling a sum of 6 with three dice?

To find the number of possibilities of rolling a sum of 6 with three dice, we can use the "stars and bars" combinatorial method or simply enumerate the combinations. The combinations of the three dice that add up to 6 include (1,1,4), (1,2,3), (2,2,2), and their permutations. There are a total of 10 distinct combinations that result in a sum of 6, considering all permutations. Therefore, there are 10 possibilities.