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If (A={1,2,3}) and (B={4,5}), what is the total number of relations from (A) to (B)?यदि (A={1,2,3}) और (B={4,5}), तो (A) से (B) तक बनने वाले कुल संबंधों की संख्या क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^6)(2^6)
Step 1: (A\times B) has (3\times 2=6) ordered pairs. Step 2: Any relation from (A) to (B) is a subset of (A\times B). Step 3: Hence the total number of relations is (2^6).चरण 1: (A\times B) में (3\times 2=6) क्रमित युग्म होंगे। चरण 2: (A) से (B) तक कोई भी संबंध (A\times B) का उपसमुच्चय है। चरण 3: इसलिए कुल संबंधों की संख्या (2^6) होगी।
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