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Question
The number of binary operation that can be defined on a set of 2 elements is _________ .
Options
8
4
16
64
Solution
16
We know that the number of binary operations on a set of n elements is \[n^{n^2}\]
So, the number of binary operations on a set of 2 elements is \[2^{2^2} ( 2^4 ), i . e . 16 .\]
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