How many relations are possible on a set A with two elements?
दो elements वाले set A पर कुल कितने relations संभव हैं?
Show answer and explanation
Correct Answer
C. 16 / 16
ExplanationStep 1: A relation on A is a subset of A × A. Step 2: n(A)=2 so n(A×A)=4 and subsets are 2⁴=16. Step 3: Count subsets of Cartesian product for relation count.
Step 1: A पर relation A × A का subset होता है। Step 2: n(A)=2 है इसलिए n(A×A)=4 और subsets 2⁴=16 होंगे। Step 3: Relation count के लिए Cartesian product के subsets गिनें।