रिक्त समुच्चय \(\varnothing\) के घात समुच्चय में कितने तत्व होते हैं?
How many elements are there in the power set of the empty set \(\varnothing\)?
Explanation opens after your attempt
Correct Answer
B. (1)
Concept
The empty set has (0) elements, so (\mathcal{P}\(\varnothing\)) has \(2^0=1\) element. Remember that \(\varnothing\) is also a subset.
Why this answer is correct
The correct answer is B. (1). The empty set has (0) elements, so (\mathcal{P}\(\varnothing\)) has \(2^0=1\) element. Remember that \(\varnothing\) is also a subset.
Exam Tip
रिक्त समुच्चय में (0) तत्व हैं, इसलिए (\mathcal{P}\(\varnothing\)) में \(2^0=1\) तत्व होता है। याद रखें कि \(\varnothing\) भी एक उपसमुच्चय है।
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