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On (A={1,2,3,4}), (aRb) if and only if (a=b). How many equivalence classes does this relation have?समुच्चय (A={1,2,3,4}) पर (aRb) तब और केवल तब जब (a=b)। इस सम्बन्ध के तुल्यता वर्गों की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4)(4)
Step 1: This is the equality relation, where each element is related only to itself. Step 2: Therefore every element forms its own singleton equivalence class. Step 3: Since (A) has (4) elements, there are (4) equivalence classes.चरण 1: यह समानता सम्बन्ध है, जिसमें हर अवयव केवल स्वयं से सम्बन्धित होता है। चरण 2: इसलिए प्रत्येक अवयव अपना अलग एकल तुल्यता वर्ग बनाता है। चरण 3: (A) में (4) अवयव हैं, अतः (4) तुल्यता वर्ग होंगे।
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