Expert Math Class 12 Level 1

If |A|=8, |B|=2, what is the number of onto functions from A to B?

|A|=8, |B|=2 हैं। A से B तक onto functions की संख्या क्या होगी?

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Correct Answer

C. 254

Explanation

Step 1: Identify the concept: onto function. Step 2: Total functions are 2^8. Remove the 2 constant functions that are not onto, giving 254. Step 3: Exam tip: In a surjection, every codomain element must appear as an image.

Step 1: अवधारणा onto function है। Step 2: Total functions 2^8 हैं। Onto न होने वाले 2 constant functions हटाते हैं, इसलिए 254। Step 3: याद रखें: Surjection में codomain का हर element image होना चाहिए।

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