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On the set (A={1,2}), (a*b=a) is defined. Is it commutative?समुच्चय (A={1,2}) पर (a*b=a) परिभाषित है। क्या यह क्रमविनिमेय है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: (1*2=1). Step 2: (2*1=2), so the two results are not equal. Step 3: For commutativity, both orders must give the same result.चरण 1: (1*2=1)। चरण 2: (2*1=2), इसलिए दोनों बराबर नहीं हैं। चरण 3: क्रमविनिमेयता के लिए दोनों क्रमों का परिणाम समान होना चाहिए।
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