Let \( A = \{0, 1, 2, 3, 4, 5\} \). Let \( R \) be a relation on \( A \) defined by \( (x, y) \in R \) if and only if \( \max\{x, y\} \in \{3, 4\} \). Then among the statements:
\( (S_1): \) The number of elements in \( R \) is \( 18 \), and
\( (S_2): \) The relation \( R \) is symmetric but neither reflexive nor transitive
