📺 Watch Video Explanation:
Find the total number of binary operations on the set
Given: \( S = \{a, b\} \)
Concept:
If a set has \( n \) elements, then the number of binary operations on the set is:
\( n^{n^2} \)
Solution:
Here, number of elements:
\( n = 2 \)
Substitute in the formula:
\( 2^{2^2} = 2^4 \)
\( = 16 \)
Final Answer:
✔ Total number of binary operations = 16