यदि \(A=\{1,2,3,4,5\}\) और \(B=\{a,b\}\) हों, तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)=a) या (f(5)=b) हो?
If \(A=\{1,2,3,4,5\}\) and \(B=\{a,b\}\), how many functions from (A) to (B) satisfy (f(1)=a) or (f(5)=b)?
Explanation opens after your attempt
Correct Answer
C. (24)
Concept
There are \(2^5=32\) total functions, and the opposite case (f(1)=b), (f(5)=a) gives \(2^3=8\) functions. Hence (32-8=24).
Why this answer is correct
The correct answer is C. (24). There are \(2^5=32\) total functions, and the opposite case (f(1)=b), (f(5)=a) gives \(2^3=8\) functions. Hence (32-8=24).
Exam Tip
कुल \(2^5=32\) फलन हैं और विपरीत स्थिति (f(1)=b), (f(5)=a) में \(2^3=8\) फलन हैं। अतः (32-8=24) है।
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