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NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice

If relations R 1 and R 2 from set A to set B are defined as R 1 = 1 , 2 , 3 , 4 , 5 , 6 and R 2 = 2 , 1 , 4 , 3 , 6 , 5 , then n A × B can be equal to

Options

  1. A35
  2. B53
  3. C36
  4. D55

Correct answer

C. 36

Step-by-step solution

n A × B = n A × n B Now minimum n A = 6 and minimum n B = 6 ⇒ n A × n B can be equal to 7 × 13 = 91

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