Consider two linear time invariant $\text{(LTI)}$ systems $T_{1}$ and $T_{2}$ with impulse responses $h_{1}(n)$ and $h_{2}(n)$, respectively. Let there be two cascades $C_{1}$ and $C_{2}$, where in $C_{1}, T_{2}$ follows after $T_{1}$, and in $C_{2}, T_{1}$ follows after $T_{2}$.
Consider the following statements:
- Both $C_{1}$ and $C_{2}$ are always $\text{LTI}$.
- The impulse response of both $C_{1}$ and $C_{2}$ is the same.
- Both $C_{1}$ and $C_{2}$ are $\text{LTI}$, only when $h_{1}$ and $h_{2}$ are causal.
Which of the following is $\text{TRUE}$?
- Only statement $1$ is correct
- Only statement $3$ is correct
- Both statements $1, 2$ are correct
- Both statements $2, 3$ are correct
- None of the above