यदि \(A=\{1,2,3\}\), तो कितने क्रमित युग्म ((X,Y)) ऐसे हैं कि \(X\subseteq A\), \(Y\subseteq A\), और \(X\subseteq Y\)?
If \(A=\{1,2,3\}\), how many ordered pairs ((X,Y)) satisfy \(X\subseteq A\), \(Y\subseteq A\), and \(X\subseteq Y\)?
Explanation opens after your attempt
Correct Answer
C. (27)
Concept
Each element has three choices: in neither set, in (Y) only, or in both. Hence there are \(3^3=27\) pairs.
Why this answer is correct
The correct answer is C. (27). Each element has three choices: in neither set, in (Y) only, or in both. Hence there are \(3^3=27\) pairs.
Exam Tip
हर सदस्य के लिए तीन विकल्प हैं: किसी में नहीं, केवल (Y) में, या दोनों में। इसलिए कुल \(3^3=27\) युग्म हैं।
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