Let $A$ and $B$ be non empty sets in $\mathbb{R}$ and $f : A \rightarrow B$ is a bijective function. Statement 1: $f$ is an onto function. Statement 2: There exists a function $g : B \rightarrow A$ such that $f \circ g = I _ { B }$. (1) Statement 1 is true, Statement 2 is false. (2) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1. (3) Statement 1 is false, Statement 2 is true. (4) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1.
Let $A$ and $B$ be non empty sets in $\mathbb{R}$ and $f : A \rightarrow B$ is a bijective function.\\
Statement 1: $f$ is an onto function.\\
Statement 2: There exists a function $g : B \rightarrow A$ such that $f \circ g = I _ { B }$.\\
(1) Statement 1 is true, Statement 2 is false.\\
(2) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.\\
(3) Statement 1 is false, Statement 2 is true.\\
(4) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1.