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  4. 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 :

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Q. 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 :

JEE MainJEE Main 2017Probability - Part 2

Solution:

Total number of ways $={ }^{11} C_{2}$
$=55$
Favourable ways are
$(0,4),(0,8),(4,8),(2,6),(2,10),(6,10)$
Probability $=\frac{6}{55}$