A sport center has twelve gates, five are on the west side, and seven are on the east side. In how many different ways can a person enter by a west gate and leave by an east gate?
For entry event: one gate to be selected from five gates on West = 5 ways
For exit event: one gate to be selected from seven gates on East = 7 ways
Note: Entry and exit events are associated with each other.
\[
5 \times 7 = 35 \leftarrow \text{answer}
\]