Question:
The number of binary operations that can be defined on a set with 2 elements is:
- (a) 8
- (b) 4
- (c) 16
- (d) 64
Concept:
Number of binary operations on a set with \( n \) elements is:
\[ n^{n^2} \]
Solution:
Here \( n = 2 \)
\[ 2^{2^2} = 2^4 = 16 \]
—Final Answer:
\[ \boxed{16} \]
Correct Option: (c)