यदि \(A=\{a,b,c,d,e\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनमें (a) और (b) में से ठीक एक हो?
If \(A=\{a,b,c,d,e\}\), how many subsets in (\mathcal{P}(A)) contain exactly one of (a) and (b)?
Explanation opens after your attempt
B. (16)
Concept
There are (2) ways to choose exactly one of (a,b), and the remaining (3) elements are free. Hence \(2\cdot2^3=16\).
Why this answer is correct
The correct answer is B. (16). There are (2) ways to choose exactly one of (a,b), and the remaining (3) elements are free. Hence \(2\cdot2^3=16\).
Exam Tip
(a,b) में से ठीक एक चुनने के (2) तरीके हैं और बाकी (3) तत्व स्वतंत्र हैं। इसलिए \(2\cdot2^3=16\)।
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