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On (A={1,2,3,4,5,6}), how many equivalence classes are formed by the relation (\max(a,4)=\max(b,4))?समुच्चय (A={1,2,3,4,5,6}) पर (\max(a,4)=\max(b,4)) से बने संबंध में कुल कितने तुल्यता वर्ग होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3)(3)
Step 1: The possible values of (\max(a,4)) are (4,5,6). Step 2: The classes are ({1,2,3,4},{5},{6}). Step 3: The number of distinct function values gives the number of classes.चरण 1: (\max(a,4)) के संभावित मान (4,5,6) हैं। चरण 2: वर्ग ({1,2,3,4},{5},{6}) बनते हैं। चरण 3: अलग-अलग फलन मानों की संख्या ही तुल्यता वर्गों की संख्या है।
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