यदि (A) में (3) तत्व हैं, तो (\mathcal{P}(A)) में कुल कितने क्रमित युग्म ((X,Y)) होंगे जिनमें \(X\subseteq Y\subseteq A\)?
If (A) has (3) elements, how many ordered pairs ((X,Y)) are there such that \(X\subseteq Y\subseteq A\)?
Explanation opens after your attempt
Correct Answer
C. (27)
Concept
For each element there are three choices: in (X), only in (Y), or outside both. Thus the total is \(3^3=27\).
Why this answer is correct
The correct answer is C. (27). For each element there are three choices: in (X), only in (Y), or outside both. Thus the total is \(3^3=27\).
Exam Tip
हर तत्व के लिए तीन स्थितियाँ हैं: (X) में, केवल (Y) में, या दोनों से बाहर। इसलिए कुल \(3^3=27\) युग्म हैं।
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