यदि \(A=\{1,2,3,4,5\}\) और \(B=\{0,1,2\}\) हों, तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)=f(2)=f(3)) हो?
If \(A=\{1,2,3,4,5\}\) and \(B=\{0,1,2\}\), how many functions from (A) to (B) satisfy (f(1)=f(2)=f(3))?
Explanation opens after your attempt
Correct Answer
A. (27)
Concept
There are (3) choices for the common value of the first three inputs and \(3^2\) choices for the remaining two inputs. Total functions are \(3\cdot3^2=27\).
Why this answer is correct
The correct answer is A. (27). There are (3) choices for the common value of the first three inputs and \(3^2\) choices for the remaining two inputs. Total functions are \(3\cdot3^2=27\).
Exam Tip
पहले तीन मानों के सामान्य मान के लिए (3) विकल्प हैं और बाकी दो इनपुट के लिए \(3^2\) विकल्प हैं। कुल \(3\cdot3^2=27\) फलन हैं।
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