यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{0,1,2\}\) हों, तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)=f(2)), (f(3)=f(4)) और (f(5)\ne f(6)) हो?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{0,1,2\}\), how many functions from (A) to (B) satisfy (f(1)=f(2)), (f(3)=f(4)), and (f(5)\ne f(6))?
Explanation opens after your attempt
Correct Answer
A. (54)
Concept
There are \(3\cdot3\) choices for the two equal groups and \(3\cdot2\) choices for the unequal last pair. Total functions are \(3\cdot3\cdot3\cdot2=54\).
Why this answer is correct
The correct answer is A. (54). There are \(3\cdot3\) choices for the two equal groups and \(3\cdot2\) choices for the unequal last pair. Total functions are \(3\cdot3\cdot3\cdot2=54\).
Exam Tip
पहले दो समान समूहों के लिए \(3\cdot3\) विकल्प और अंतिम असमान जोड़े के लिए \(3\cdot2\) विकल्प हैं। कुल \(3\cdot3\cdot3\cdot2=54\) फलन हैं।
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