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If (f:A\to B), where (A={1,2}), (B={a,b,c}), how many one-one functions are there from (A) to (B)?यदि (f:A\to B) जहाँ (A={1,2}), (B={a,b,c}), तो (A) से (B) तक कितने एकैकी फलन हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (6)(6)
Step 1: The image of (1) can be chosen in (3) ways. Step 2: The image of (2) must be different, so (2) choices remain. Step 3: Total one-one functions are (3\times2=6).चरण 1: (1) का प्रतिबिंब चुनने के (3) तरीके हैं। चरण 2: (2) का प्रतिबिंब अलग होना चाहिए, इसलिए (2) तरीके बचते हैं। चरण 3: कुल एकैकी फलन (3\times2=6) होंगे।
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