Question

Let $A=\{1,2,3\}$ and $B=\{1,2,3,4\}$ and let $R:A\rightarrow B$ be a relation. If $R=\{(1,2), (2,3), (3,4)\}$, then $R\circ R$ is

• A. \{(1,2), (2, 3), (3, 4)\}
• B. \{(1,2), (2, 1), (3, 4)\}
• C. \{(1,3), (2, 4)\}
• D. \{(1, 1), (2, 3), (3, 2)\}
• E. \{(1,2), (2, 1), (3, 3)\}

Hint:

Logic Tip: When calculating $R \circ R$, simply trace the path of the coordinates. If $A \rightarrow B$ and $B \rightarrow C$, then the composed path is $A \rightarrow C$. Make sure the intermediate value $B$ exactly matches!

Answer 1

The Correct Option is C