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Find the total number of binary operations on the set
Given: \( S = \{a, b, c\} \)
Concept:
If a set has \( n \) elements, then the number of binary operations on the set is:
\( n^{n^2} \)
Solution:
Here, the number of elements:
\( n = 3 \)
Substitute in the formula:
\( 3^{3^2} = 3^9 \)
\( = 19683 \)
Final Answer:
✔ Total number of binary operations = 19683