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

If two different numbers are taken from the set 0 , &#160; 1 , &#160; 2 , &#160; 3 , . . . . . , &#160; 10 ; then the probability that their sum as well as absolute difference are both multiple of 4 , is:

Aicharya · Accepted Answer

Required favourable cases are 0 , &#160; 4 , 0 , &#160; 8 , 2 , &#160; 6 , 2 , &#160; 10 , 4 , &#160; 8 , 6 , &#160; 10 So, favourable cases = 6 Total cases = 11 C 2 = 11 &#215; 10 2 = 55 Hence, the required probability = 6 55

If two different numbers are taken from the set 0 ,   1 ,   2 ,   3 , . . . . . ,   10 ;…

Solution

If two different numbers are taken from the set 0 , &#160; 1 , &#160; 2 , &#160; 3 , . . . . . , &#160; 10 ;…

Solution

If two different numbers are taken from the set 0 , 1 , 2 , 3 , . . . . . , 10 ;…