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How many symmetric relations are possible on the set (A={1,2,3,4})?समुच्चय (A={1,2,3,4}) पर सममित संबंधों की कुल संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1024)(1024)
Step 1: Here (n=4). Step 2: The number of symmetric relations is (2^{\frac{n(n+1)}{2}}). Step 3: (2^{\frac{4\cdot5}{2}}=2^{10}=1024), so the correct number is (1024).चरण 1: यहाँ (n=4) है। चरण 2: सममित संबंधों की संख्या (2^{\frac{n(n+1)}{2}}) होती है। चरण 3: (2^{\frac{4\cdot5}{2}}=2^{10}=1024), इसलिए सही संख्या (1024) है।
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