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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

On the set A = {1, 2, 3}, how many relations are both reflexive and symmetric?

Answer: 8.

  • A 8
  • B 64
  • C 512
  • D 27

Correct answer: A. 8

Explanation: The 3 diagonal pairs are forced, and the 3 off-diagonal unordered pairs are each independently in or out, giving 2³ = 8.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →