imo class 12 relations and functions

The number of binary operations that can be defined on a set with n elements is:

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The number of binary operations that can be defined on a set with n elements is:

  • A. nⁿ
  • B. 2^(n²)
  • C. n^(n²)
  • D.

Answer: C) n^(n²)

Explanation: A binary operation is a function from A × A to A. |A × A| = n². Number of functions = n^(n²).

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