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On (A={1,2,3,4}), the identity relation is (I_A={(1,1),(2,2),(3,3),(4,4)}). How many equivalence classes does it have?समुच्चय (A={1,2,3,4}) पर पहचान सम्बन्ध (I_A={(1,1),(2,2),(3,3),(4,4)}) है। इसके तुल्यता वर्गों की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4)(4)
Step 1: In the identity relation, each element is related only to itself. Step 2: Therefore each element forms its own singleton class. Step 3: Since there are (4) elements, there are (4) equivalence classes.चरण 1: पहचान सम्बन्ध में हर अवयव केवल स्वयं से सम्बन्धित होता है। चरण 2: इसलिए हर अवयव अपना अलग एकल वर्ग बनाता है। चरण 3: (4) अवयव हैं, इसलिए (4) तुल्यता वर्ग होंगे।
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