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If (A={1,2,3,4}), (B={a,b,c,d,e}), and (f={(1,a),(2,c),(3,e),(4,b)}), what type of function is (f)?यदि (A={1,2,3,4}), (B={a,b,c,d,e}) और (f={(1,a),(2,c),(3,e),(4,b)}) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: Every element of (A) has exactly one image. Step 2: The images (a,c,e,b) are all distinct. Step 3: For finite sets, no repetition of images means the function is one-one.चरण 1: (A) के हर तत्व का ठीक एक प्रतिबिंब है। चरण 2: प्रतिबिंब (a,c,e,b) सभी अलग हैं। चरण 3: सीमित समुच्चय में प्रतिबिंबों की पुनरावृत्ति न हो तो फलन एकैकी होता है।
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