Sets And Relations

Step 1: Concept
A relation on set is a subset of the Cartesian product .
Step 2: Analysis
If set has elements, then the Cartesian product has elements.
Step 3: Calculation
The number of possible relations is equal to the number of subsets of . If a set has elements, it has subsets. Here, , so the number of relations is .
Step 4: Conclusion
Hence, the correct answer is .
Final Answer:(B)