If A = {1 2 3} then how many total possible relations are there on A?
यदि A = {1 2 3} है तो A पर total possible relations कितने होंगे?
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Correct Answer
D. 512 / 512
ExplanationStep 1: A relation on A is a subset of A × A. Step 2: n(A×A)=3×3=9 so relations are 2^9=512. Step 3: For relation count find subsets of Cartesian product.
Step 1: A पर relation A × A का subset होता है। Step 2: n(A×A)=3×3=9 इसलिए relations 2^9=512 हैं। Step 3: Relation count में Cartesian product के subsets गिनें।