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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:

Options

  1. A6 55
  2. B12 55
  3. C14 45
  4. D7 55

Correct answer

A. 6 55

Step-by-step solution

Required favourable cases are 0 ,   4 , 0 ,   8 , 2 ,   6 , 2 ,   10 , 4 ,   8 , 6 ,   10 So, favourable cases = 6 Total cases = 11 C 2 = 11 × 10 2 = 55 Hence, the required probability = 6 55

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