The figure below shows a lamp and the appearance of a string that operates this lamp. The lamp;
  • when closed, if the string is pulled and released, it gives dim light,
  • when giving dim light, if the string is pulled and released, it gives daylight,
  • when giving daylight, if the string is pulled and released, it gives bright light,
  • when giving bright light, if the string is pulled and released, it turns off.

Initially, this lamp was closed. The string was pulled and released A times and the lamp was observed to give bright light. Then, the lamp's string was pulled and released B more times and the lamp was observed to give daylight. Later, the lamp's string was pulled and released C more times and the lamp was observed to turn off.
Accordingly, which of the following is an even number?
A) $A \cdot B + C$ B) $B \cdot C + A$ C) $A \cdot (B + C)$ D) $B \cdot (A + C)$ E) $C \cdot (A + B)$
The figure below shows a lamp and the appearance of a string that operates this lamp. The lamp;
\begin{itemize}
\item when closed, if the string is pulled and released, it gives dim light,
\item when giving dim light, if the string is pulled and released, it gives daylight,
\item when giving daylight, if the string is pulled and released, it gives bright light,
\item when giving bright light, if the string is pulled and released, it turns off.
\end{itemize}

Initially, this lamp was closed. The string was pulled and released A times and the lamp was observed to give bright light. Then, the lamp's string was pulled and released B more times and the lamp was observed to give daylight. Later, the lamp's string was pulled and released C more times and the lamp was observed to turn off.

Accordingly, which of the following is an even number?

A) $A \cdot B + C$
B) $B \cdot C + A$
C) $A \cdot (B + C)$
D) $B \cdot (A + C)$
E) $C \cdot (A + B)$