यदि \(A=\{1,2,3,4\}\) और \(B=\{0,1,2\}\) हों तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)=f(2)) और (f(3)\ne f(4)) हो?
If \(A=\{1,2,3,4\}\) and \(B=\{0,1,2\}\), how many functions from (A) to (B) satisfy (f(1)=f(2)) and (f(3)\ne f(4))?
Explanation opens after your attempt
Correct Answer
A. (18)
Concept
There are (3) choices for (f(1)=f(2)) and \(3\cdot2\) choices for (f(3)\ne f(4)). Total is \(3\cdot3\cdot2=18\).
Why this answer is correct
The correct answer is A. (18). There are (3) choices for (f(1)=f(2)) and \(3\cdot2\) choices for (f(3)\ne f(4)). Total is \(3\cdot3\cdot2=18\).
Exam Tip
(f(1)=f(2)) के लिए (3) विकल्प और (f(3)\ne f(4)) के लिए \(3\cdot2\) विकल्प हैं। कुल \(3\cdot3\cdot2=18\) हैं।
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