$1,000,000,000,000-777,777,777,777=$
$\text{(A)}\ 222,222,222,222 \qquad  \text{(B)}\ 222,222,222,223 \qquad  \text{(C)}\ 233,333,333,333 \qquad \\ \text{(D)}\ 322,222,222,223 \qquad  \text{(E)}\ 333,333,333,333$
\begin{align*} 1,000,000,000,000-777,777,777,777 &= 999,999,999,999-777,777,777,777+1 \\ &= 222,222,222,222+1 \\ &= 222,222,222,223 \rightarrow \boxed{\text{B}}. \end{align*}