यदि \(A=\{1,2,3,4,5\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनमें (1) अवश्य हो और (5) न हो?
If \(A=\{1,2,3,4,5\}\), how many subsets in (\mathcal{P}(A)) must contain (1) and must not contain (5)?
Explanation opens after your attempt
Correct Answer
B. (8)
Concept
(1) is fixed and (5) is excluded, so the remaining ({2,3,4}) gives \(2^3=8\) choices. In exams, separate fixed and forbidden elements.
Why this answer is correct
The correct answer is B. (8). (1) is fixed and (5) is excluded, so the remaining ({2,3,4}) gives \(2^3=8\) choices. In exams, separate fixed and forbidden elements.
Exam Tip
(1) fixed है और (5) excluded है, इसलिए शेष ({2,3,4}) से \(2^3=8\) choices मिलती हैं। परीक्षा में fixed और forbidden elements अलग करें।
Login to save your score, XP, coins and progress.