यदि \(A=\{1,2,3,4\}\) और \(B=\{0,1,2,3\}\) हों, तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)<f(2)) और (f(3)=f(4)) हो?
If \(A=\{1,2,3,4\}\) and \(B=\{0,1,2,3\}\), how many functions from (A) to (B) satisfy (f(1)<f(2)) and (f(3)=f(4))?
Explanation opens after your attempt
Correct Answer
B. (24)
Concept
There are \(\binom{4}{2}=6\) pairs for (f(1)<f(2)) and (4) choices for (f(3)=f(4)). Total functions are \(6\cdot4=24\).
Why this answer is correct
The correct answer is B. (24). There are \(\binom{4}{2}=6\) pairs for (f(1)<f(2)) and (4) choices for (f(3)=f(4)). Total functions are \(6\cdot4=24\).
Exam Tip
(f(1)<f(2)) के लिए \(\binom{4}{2}=6\) जोड़े हैं और (f(3)=f(4)) के लिए (4) विकल्प हैं। कुल \(6\cdot4=24\) फलन हैं।
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