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On a set with four elements, how many relations are not reflexive?चार तत्वों वाले समुच्चय पर कितने संबंध प्रतिवर्ती नहीं होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^{16}-2^{12})(2^{16}-2^{12})
Step 1: The total number of relations is (2^{4^2}=2^{16}). Step 2: The number of reflexive relations is (2^{16-4}=2^{12}). Step 3: Non-reflexive relations are (2^{16}-2^{12}).चरण 1: कुल संबंध (2^{4^2}=2^{16}) होते हैं। चरण 2: प्रतिवर्ती संबंधों की संख्या (2^{16-4}=2^{12}) है। चरण 3: प्रतिवर्ती नहीं होने वाले संबंध (2^{16}-2^{12}) होंगे।
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