रिक्त समुच्चय के घात समुच्चय के बारे में कौन सा कथन सही है?
Which statement is correct about the power set of the empty set?
Explanation opens after your attempt
Correct Answer
B. (\mathcal{P}\(\varnothing\)={\varnothing})
Concept
The empty set has only one subset, the empty set itself. Therefore (\mathcal{P}\(\varnothing\)) has one element.
Why this answer is correct
The correct answer is B. (\mathcal{P}\(\varnothing\)={\varnothing}). The empty set has only one subset, the empty set itself. Therefore (\mathcal{P}\(\varnothing\)) has one element.
Exam Tip
रिक्त समुच्चय का एक ही उपसमुच्चय होता है, वह स्वयं रिक्त समुच्चय है। इसलिए (\mathcal{P}\(\varnothing\)) में एक तत्व होता है।
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