Expert Math Class 12 Level 1

If |A|=7, |B|=10, what is the number of one-one functions from A to B?

|A|=7, |B|=10 हैं। A से B तक one-one functions की संख्या क्या है?

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Correct Answer

B. 604800

Explanation

Step 1: Identify the concept: one-one function. Step 2: In a one-one function, images do not repeat. Therefore the count is P(10,7)=604800. Step 3: Exam tip: For injections, choose images without repetition from the codomain.

Step 1: अवधारणा one-one function है। Step 2: One-one function में images repeat नहीं होतीं। इसलिए count P(10,7)=604800 है। Step 3: याद रखें: Injection में codomain से बिना repetition choices लेते हैं।

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