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If (A={1,2}), how many symmetric relations are possible on (A)?यदि (A={1,2}), तो (A) पर सममित संबंधों की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 88
Step 1: Here (n=2). Step 2: The number of symmetric relations is (2^{\frac{n(n+1)}{2}}=2^{\frac{2\cdot3}{2}}=2^3). Step 3: For small sets, applying the formula gives a quick answer.चरण 1: यहां (n=2) है। चरण 2: सममित संबंधों की संख्या (2^{\frac{n(n+1)}{2}}=2^{\frac{2\cdot3}{2}}=2^3) होगी। चरण 3: छोटे समुच्चय में सूत्र लगाकर जल्दी उत्तर मिल जाता है।
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