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JEE Main202522 Jan 2025Morning ShiftMathematicsSets and RelationsActual

The number of non-empty equivalence relations on the set 1,2,3 is :

Options

  1. A6
  2. B5
  3. C7
  4. D4

Correct answer

B. 5

Step-by-step solution

Let R be the required relation A = (1,1)(2,2),(3,3) (i) | R |=3 , when R = A (ii) | R |=5 , e.g. R = A (1,2),(2,1) Number of R can be [3] (iii) R = 1,2,3 1,2,3 Ans. (5)

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