The total number of binary operations on a set having 3 elements is:
The total number of binary operations on a set having 3 elements is:
- A. 3³
- B. 3⁶
- C. 3⁹
- D. 3²⁷
Answer: C) 3⁹
Explanation: A binary operation on A is a function from A × A to A. If A has n elements, A × A has n² elements. Number of functions is n^(n²). For n=3, 3^(3²) = 3⁹.
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