A2. We throw two dice at once multiple times and each time we add the numbers of dots on the top faces of both. What is the maximum number of different sums of dots we can get?
(A) 10
(B) 11
(C) 12
(D) 18
(E) 20
A2. Possible sums of the dots on the upper faces of the dice are: $2=1+1,3=1+2=2+1$, $4=1+3=2+2=3+1,5=1+4=2+3=3+2=4+1,6=1+5=$ $2+4=3+3=4+2=5+1,7=1+6=2+5=3+4=4+3=5+2=6+1$, $8=2+6=3+5=4+4=5+3=6+2,9=3+6=4+5=5+4=6+3$, $10=4+6=5+5=6+4,11=5+6=6+5$ and $12=6+6$, a total of 11 different sums.