How many three-digit positive integers \underline{a b c} are there whose nonzero digits a, b, and c satisfy

0 . \bar{a} \underline{b c}=\dfrac{1}{3}(0 . \bar{a}+0 . \bar{b}+0 . \bar{c}) ?

(The bar indicates repetition, thus 0 . \underline{a} b c is the infinite repeating decimal 0 . \underline{a b c a b c} \cdots )

**Answer Choices**

A. 9

B. 10

C. 11

D. 13

E. 14