Two 3-digit integers, a b c and \operatorname{def}, have the following property:
\begin{array}{r}
a b c \\
+\quad d e f \\
\hline 1000
\end{array}
None of a, b, c, d, e, or f is 0 . What is a+b+c+d+e+f ?
Answer Choices
A. 10
B. 19
C. 21
D. 28
E. 30