imo class 12 relations and functions

Let A be a set containing 3 elements. The total number of symmetric relations on A is:

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Let A be a set containing 3 elements. The total number of symmetric relations on A is:

  • A. 64
  • B. 512
  • C. 8
  • D. 27

Answer: A) 64

Explanation: The formula for the number of symmetric relations on a set of n elements is 2^(n(n+1)/2). For n=3, 2^(3×4/2) = 2⁶ = 64.

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