Question: If two different numbers are taken from the set $\{0,1,2,3, \ldots \ldots, 10)$, then the probability that their sum as well as absolute difference are both multiple of 4 , is :-
$\frac{7}{55}$
$\frac{6}{55}$
$\frac{12}{55}$
$\frac{14}{45}$
Correct Option: , 2
Solution: