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If (A={1,2,3}) and (B={a,b,c,d}), how many relations are there from (A) to (B)?यदि (A={1,2,3}) और (B={a,b,c,d}) हों, तो (A) से (B) में कुल संबंधों की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^{12}=4096)(2^{12}=4096)
(A\times B) has (3\times 4=12) pairs, so relations are (2^{12}=4096). In exams, relations are counted as subsets.(A\times B) में (3\times 4=12) युग्म हैं इसलिए संबंध (2^{12}=4096) होंगे। परीक्षा में संबंध उपसमुच्चयों से गिने जाते हैं।
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