For positive integers $a$, $b$, and $c$
\begin{itemize}
\item $\frac{a+b}{c}$ is an even integer,
\item $\frac{a+c}{b}$ is an odd integer.
\end{itemize}
Accordingly
I. $a + b + c$
II. $a \cdot (b + c)$
III. $a \cdot b \cdot c$
which of the following expressions are always even?
A) Only II
B) Only III
C) I and II