Let A ={0,1,2, …, 9}. Let R be a relation on A defined by (x, y) ∈ R if and only if |x-y| is a multiple of 3. Given below are two statements:…

Let $\displaystyle \mathrm{A}=\{0,1,2, \ldots, 9\}$. Let R be a relation on A defined by $\displaystyle (x, y) \in \mathrm{R}$ if and only if $\displaystyle |x-y|$ is a multiple of $\displaystyle 3$ .Given below are two statements: Statement I: $\displaystyle n(\mathrm{R})=36$. Statement II: R is an equivalence relation. In the light of the above statements, choose the correct answer from the options given below