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\} \…

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
\(\left(S_1\right)\): The number of elements in \(R\) is 18, and
\(\left(S_2\right)\): The relation \(R\) is symmetric but neither reflexive nor transitive

[JEE Main 2025, 8 Apr (Shift 1)]