If two different numbers are taken from the set \( \{0,1,2,3, \ldot...

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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 :-
\( \mathrm{P} \)
(1) \( \frac{7}{55} \)
(2) \( \frac{6}{55} \)
(3) \( \frac{12}{55} \)
(4) \( \frac{14}{45} \)
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