For the given reaction $Cl_2 + OH^{-} \to ClO^{-} + Cl^{-}$,select the correct sequence of $T$ (True) and $F$ (False) for the following statements:
$(1)$ The given reaction occurs in a basic medium.
$(2)$ $Cl_2$ undergoes both oxidation and reduction.
$(3)$ The reaction is a disproportionation reaction.
$(4)$ The oxidation state of $Cl$ in $ClO^{-}$ is $+1$.

(D) Statement $(1)$: The presence of $OH^{-}$ indicates a basic medium. Hence,$T$.
Statement $(2)$: $Cl_2$ (oxidation state $0$) goes to $ClO^{-}$ (oxidation state $+1$) and $Cl^{-}$ (oxidation state $-1$). Thus,it undergoes both oxidation and reduction. Hence,$T$.
Statement $(3)$: Since $Cl_2$ is simultaneously oxidized and reduced,it is a disproportionation reaction. Hence,$T$.
Statement $(4)$: In $ClO^{-}$,let the oxidation state of $Cl$ be $x$. Then $x + (-2) = -1$,which gives $x = +1$. Hence,$T$.
The correct sequence is $TTTT$.