यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{0,1\}\) हों, तो कितने फलन \(f:A\to B\) ऐसे हैं जिनमें कम से कम (3) इनपुटों की छवि (1) हो?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{0,1\}\), how many functions \(f:A\to B\) have at least (3) inputs with image (1)?
Explanation opens after your attempt
Correct Answer
C. (42)
Concept
There are \(2^6=64\) total functions. Excluding cases with (0,1,2) occurrences of (1), namely (1+6+15=22), leaves (42).
Why this answer is correct
The correct answer is C. (42). There are \(2^6=64\) total functions. Excluding cases with (0,1,2) occurrences of (1), namely (1+6+15=22), leaves (42).
Exam Tip
कुल \(2^6=64\) फलन हैं। (0,1,2) बार (1) आने वाले (1+6+15=22) हटाने पर (42) बचते हैं।
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