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📐 Mathematics  ·  Relations and Functions  ·  JEE

The number of equivalence relations on {1, 2, 3} is:

Answer: 5.

  • A 3
  • B 4
  • C 5
  • D 6

Correct answer: C. 5

Explanation: Equivalence relations on a 3-element set correspond to partitions. Partitions of {1,2,3}: {1},{2},{3} ; {1,2},{3} ; {1,3},{2} ; {2,3},{1} ; {1,2,3}. Total = 5.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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