Let A={0,1,2,3,4,5}. Let R be a relation on A defined by (x, y) ∈ R if and only if max {x, y} ∈{3,4}. Then among the statements ( S_1): The number of…

Let $\displaystyle A=\{0,1,2,3,4,5\}$. Let $\displaystyle R$ be a relation on $\displaystyle A$ defined by $\displaystyle (x, y) \in R$ if and only if $\displaystyle \max \{x, y\} \in\{3,4\}$. Then among the statements $\displaystyle \left(\mathrm{S}_1\right)$ : The number of elements in $\displaystyle R$ is $\displaystyle 18$ , and $\displaystyle \left(\mathrm{S}_2\right)$ : The relation $\displaystyle R$ is symmetric but neither reflexive nor transitive