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JEE Main202124 Feb 2021Evening ShiftMathematicsProbabilityActual

The probability that two randomly selected subsets of the set 1 , 2 , 3 , 4 , 5 have exactly two elements in their intersection, is:

Options

  1. A65 2 8
  2. B65 2 7
  3. C35 2 7
  4. D135 2 9

Correct answer

D. 135 2 9

Step-by-step solution

Total subsets = 2 5 = 32 Probability = C 2 5 × 3 3 32 × 32 = 10 × 27 2 10 = 135 2 9

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