Let A be the $2\times 2$ matrix given by  $A=\left[a_{ij}\right]$ where $a_{ij}\in \{0,1,2,3,4\}$ such that $a_{11}+a_{12}+a_{21}+a_{22}=4$ then which of the following statement(s) is/are true ?

(1) Possible matrices are
 $\left[\begin{array}{cc}1& 0\\ 0& 3\end{array}\right],\left[\begin{array}{cc}3& 0\\ 0& 1\end{array}\right],\left[\begin{array}{cc}2& 0\\ 0& 2\end{array}\right],\left[\begin{array}{cc}4& 0\\ 0& 0\end{array}\right],\left[\begin{array}{cc}0& 0\\ 0& 4\end{array}\right]$
(2) Using 0, 0, 2, 2 there are two matrices which are 
       invertible which are $\left[\begin{array}{cc}2& 0\\ 0& 2\end{array}\right]$ and  $\left[\begin{array}{cc}0& 2\\ 2& 0\end{array}\right]$.
Using 0, 0, 1, 3, there are four matrices which are invertible.
Using 0, 1, 1, 2, there are twelve matrices which are invertible.
$\therefore$ Total number of matrices = 18
(3)  $|4-(-4)|=8$
(4) there are five matrices, which are either symmetric or skew symmetric and whose determinant is divisible by 2.
These are $\left[\begin{array}{cc}2& 0\\ 0& 2\end{array}\right],\left[\begin{array}{cc}0& 2\\ 2& 0\end{array}\right],\left[\begin{array}{cc}0& 0\\ 0& 4\end{array}\right],\left[\begin{array}{cc}4& 0\\ 0& 0\end{array}\right],\left[\begin{array}{cc}1& 1\\ 1& 1\end{array}\right]$