If two different numbers are taken from the set {0, 1, 2, 3, ......, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is :

Question

$\begin{array}{1 1} (1) \large\frac{12}{55} \\ (2)\large\frac{14}{45} \\ (3) \large\frac{7}{55} \\ (4) \large\frac{6}{55} \end{array}$