यदि (A) के ठीक (5) उचित उपसमुच्चय हैं, तो (\mathcal{P}(A)) में कितने तत्व होंगे?
If (A) has exactly (5) proper subsets, how many elements are in (\mathcal{P}(A))?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
The number of proper subsets is \(2^{n(A)}-1\), so \(2^{n(A)}=6\). The power set also includes the original set itself.
Why this answer is correct
The correct answer is A. (6). The number of proper subsets is \(2^{n(A)}-1\), so \(2^{n(A)}=6\). The power set also includes the original set itself.
Exam Tip
उचित उपसमुच्चय की संख्या \(2^{n(A)}-1\) होती है, इसलिए \(2^{n(A)}=6\)। घात समुच्चय में मूल समुच्चय भी शामिल होता है।
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