यदि \(A=\{a,b,c\}\), तो (\mathcal{P}(A)) में ठीक विषम संख्या के तत्वों वाले कितने उपसमुच्चय हैं?
If \(A=\{a,b,c\}\), how many subsets in (\mathcal{P}(A)) have an odd number of elements?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
The odd sizes are (1) and (3), so the count is \(\binom{3}{1}+\binom{3}{3}=3+1=4\). Count subsets by their sizes.
Why this answer is correct
The correct answer is A. (4). The odd sizes are (1) and (3), so the count is \(\binom{3}{1}+\binom{3}{3}=3+1=4\). Count subsets by their sizes.
Exam Tip
विषम आकार (1) और (3) हैं, इसलिए संख्या \(\binom{3}{1}+\binom{3}{3}=3+1=4\) है। आकार के आधार पर उपसमुच्चय गिनें।
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