यदि \(A=\{1,2,3\}\) और \(B=\{a,b,c,d\}\) हों, तो \(A\times B\) के कितने उपसमुच्चय (A) से (B) में फलन नहीं हैं?
If \(A=\{1,2,3\}\) and \(B=\{a,b,c,d\}\), how many subsets of \(A\times B\) are not functions from (A) to (B)?
Explanation opens after your attempt
Correct Answer
C. (4032)
Concept
There are \(2^{12}=4096\) total subsets and \(4^3=64\) functions. Thus the non-function subsets are (4096-64=4032).
Why this answer is correct
The correct answer is C. (4032). There are \(2^{12}=4096\) total subsets and \(4^3=64\) functions. Thus the non-function subsets are (4096-64=4032).
Exam Tip
कुल उपसमुच्चय \(2^{12}=4096\) हैं और फलन \(4^3=64\) हैं। इसलिए फलन न होने वाले उपसमुच्चय (4096-64=4032) हैं।
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