A3. When we throw 3 fair dice of different colors. In how many cases can we get a sum of 10 dots?
(A) 30
(B) 27
(C) 10
(D) 6
(E) 36
A3. The sum of 10 points can be obtained in six possible outcomes, namely, in the outcomes $\{1,3,6\},\{1,4,5\}$ and $\{2,3,5\}$ each $3!=6$, and in the outcomes $\{2,2,6\},\{3,3,4\}$ and $\{4,4,2\}$ each $\frac{3!}{2!}=3$. If we add up all the possibilities $6 \cdot 3+3 \cdot 3$ we get 27 possibilities. The correct answer is $B$.