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Which is the number of one-one functions from (A={1,2,3}) to (B={1,2,3,4,5})?समुच्चय (A={1,2,3}) से (B={1,2,3,4,5}) में एकैकी फलनों की संख्या कौन-सी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(60\) / (60)\(60\) / (60)
Step 1: The three elements of (A) must be assigned distinct elements of (B). Step 2: The choices are (5\cdot4\cdot3=60). Step 3: The number of all functions would be (5^3), but one-one functions cannot repeat images.चरण 1: (A) के तीन अवयवों को (B) के अलग-अलग अवयवों से जोड़ना है। चरण 2: विकल्प (5\cdot4\cdot3=60) होंगे। चरण 3: साधारण फलनों की संख्या (5^3) होती, लेकिन एकैकी में दोहराव नहीं चल सकता।
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