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On (A={0,1,2,3}), (a*b=\min(a,b)) is given. What will be the identity element?समुच्चय (A={0,1,2,3}) पर (a*b=\min(a,b)) दिया है। तत्समक अवयव क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3)(3)
Step 1: We need (\min(a,e)=a) for every (a\in A). Step 2: (3) is the greatest element, so (\min(a,3)=a). Step 3: For a minimum operation, the greatest element is the identity.चरण 1: (\min(a,e)=a) हर (a\in A) के लिए चाहिए। चरण 2: (3) सबसे बड़ा अवयव है, इसलिए (\min(a,3)=a)। चरण 3: न्यूनतम वाली संक्रिया में सबसे बड़ा अवयव तत्समक होता है।
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