Question:
The number of binary relations on a set with 3 elements is
The number of binary relations on a set with 3 elements is
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The number of binary relations on a set of \(n\) elements is \( 2^{n^2} \), as each pair of elements can either have a relation or not.
Updated On: May 4, 2025
- 8
- 16
- 512
- 128
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The Correct Option is C
Solution and Explanation
The number of binary relations on a set with \(n\) elements is given by \( 2^{n^2} \). For a set with 3 elements, the calculation is:
\[
2^{3^2} = 2^9 = 512
\]
Therefore, the correct answer is 3. 512.
Therefore, the correct answer is 3. 512.
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