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If (A={1,2,3}), how many reflexive relations are possible on (A)?यदि (A={1,2,3}) है, तो (A) पर परावर्ती संबंधों की संख्या कितनी होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (64)(64)
Step 1: (A\times A) has (3^2=9) pairs. Step 2: The (3) diagonal pairs are compulsory, so (6) pairs are optional. Step 3: Total reflexive relations are (2^6=64).चरण 1: (A\times A) में (3^2=9) युग्म हैं। चरण 2: (3) विकर्ण युग्म अनिवार्य हैं, इसलिए (6) युग्म स्वतंत्र हैं। चरण 3: कुल परावर्ती संबंध (2^6=64) होंगे।
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