Sets, Relations and Functions: JEE Main 2025 Mathematics question

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 (S₁): The number of elements in R is 18, and (S₂): The relation R is symmetric but neither reflexive nor transitive Which of the following is correct?