यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{a,b\}\) हों, तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(2)=a) या (f(5)=b) हो?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{a,b\}\), how many functions from (A) to (B) satisfy (f(2)=a) or (f(5)=b)?
Explanation opens after your attempt
Correct Answer
C. (48)
Concept
There are \(2^6=64\) total functions, and the opposite case (f(2)=b), (f(5)=a) gives \(2^4=16\) functions. Hence (64-16=48).
Why this answer is correct
The correct answer is C. (48). There are \(2^6=64\) total functions, and the opposite case (f(2)=b), (f(5)=a) gives \(2^4=16\) functions. Hence (64-16=48).
Exam Tip
कुल \(2^6=64\) फलन हैं और विपरीत स्थिति (f(2)=b), (f(5)=a) में \(2^4=16\) फलन हैं। अतः (64-16=48) है।
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