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On (A={1,2,3,4}), (R) has classes ({1,2},{3,4}), and (S) has classes ({1,3},{2,4}). What are the classes of (R\cap S)?समुच्चय (A={1,2,3,4}) पर (R) के वर्ग ({1,2},{3,4}) हैं और (S) के वर्ग ({1,3},{2,4}) हैं। (R\cap S) के वर्ग कौन से होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1},{2},{3},{4})({1},{2},{3},{4})
Step 1: In (R\cap S), two elements stay together only if they are together in both relations. Step 2: Here no two distinct elements are together in both partitions. Step 3: Therefore all classes are singleton classes.चरण 1: (R\cap S) में दो तत्व तभी साथ होंगे जब वे दोनों संबंधों में साथ हों। चरण 2: यहाँ कोई दो अलग तत्व दोनों विभाजनों में एक साथ नहीं हैं। चरण 3: इसलिए केवल एकल वर्ग बचेंगे।
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