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If (A={1,2,3}), what fraction of all relations are reflexive relations?यदि (A={1,2,3}) है, तो परावर्ती संबंधों की संख्या कुल संबंधों की संख्या का कौन सा भाग है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{8})(\frac{1}{8})
Step 1: Total relations are (2^9). Step 2: Reflexive relations are (2^{9-3}=2^6). Step 3: The fraction is (\frac{2^6}{2^9}=\frac{1}{8}).चरण 1: कुल संबंध (2^9) होंगे। चरण 2: परावर्ती संबंध (2^{9-3}=2^6) होंगे। चरण 3: भाग (\frac{2^6}{2^9}=\frac{1}{8}) है।
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