How many relations are possible on a set A having three elements?
तीन तत्वों वाले set A पर कुल कितने relations संभव हैं?
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Correct Answer
D. 512 / 512
ExplanationStep 1: A relation on A is a subset of A × A. Step 2: If n(A)=3 then n(A × A)=9 and subsets are 2⁹ = 512. Step 3: For counting relations count subsets of the Cartesian product.
Step 1: A पर relation A × A का subset होता है। Step 2: यदि n(A)=3 तो n(A × A)=9 और subsets 2⁹ = 512 होंगे। Step 3: relation count के लिए Cartesian product के subsets गिनें।