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# If two different numbers are taken from the set

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 :-

1. $\frac{7}{55}$

2. $\frac{6}{55}$

3. $\frac{12}{55}$

4. $\frac{14}{45}$

Correct Option: , 2

Solution: