Hard Math Class 12 Level 5

How many bijective functions are possible from a set A with 8 elements to itself?

किसी 8 elements वाले set A से उसी set A में bijective functions की संख्या कितनी होगी?

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Correct Answer

D. 40320

Explanation

Step 1: a bijection is both one-one and onto. Step 2: arranging 8 images gives 8! = 40320. Step 3: memory tip: bijections from a finite set to itself are permutations.

Step 1: bijection का मतलब one-one और onto mapping है। Step 2: 8 elements को arrange करने के तरीके 8! = 40320 होते हैं। Step 3: memory tip: finite set A to A में bijections हमेशा permutations होते हैं।

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