यदि \(A=\{1,2,3,4\}\), तो ऐसे कितने क्रमित युग्म ((X,Y)) हैं जिनमें \(X\subseteq Y\subseteq A\) और (Y=A) है?
If \(A=\{1,2,3,4\}\), how many ordered pairs ((X,Y)) are there such that \(X\subseteq Y\subseteq A\) and (Y=A)?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
(Y=A) is fixed, so (X) can be any subset of (A). There are \(2^4=16\) choices for (X).
Why this answer is correct
The correct answer is C. (16). (Y=A) is fixed, so (X) can be any subset of (A). There are \(2^4=16\) choices for (X).
Exam Tip
(Y=A) निश्चित है, इसलिए (X), (A) का कोई भी उपसमुच्चय हो सकता है। (X) के \(2^4=16\) विकल्प हैं।
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