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Question
Find the total number of binary operations on {a, b}.
Solution
Number of binary operations on a set with n elements is `n^(n^2)`.
Here, S = {a, b}
Number of elements in S = 2
\[\text{Number of binary operations on a set with 2 elements} = 2^{2^2} \]
\[ = 2^4 \]
\[ = 16\]
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