imo class 12 relations and functions

The number of commutative binary operations on a set containing 2 elements is:

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The number of commutative binary operations on a set containing 2 elements is:

  • A. 16
  • B. 8
  • C. 4
  • D. 2

Answer: B) 8

Explanation: The number of commutative binary operations on a set of n elements is n^(n(n+1)/2). For n=2, it is 2^(2×3/2) = 2³ = 8.

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