यदि \(A=\{1,2,3,4,5,6,7,8\}\) है, तो (\mathcal{P}(A)) में अधिकतम (2) तत्वों वाले subsets कितने हैं?
If \(A=\{1,2,3,4,5,6,7,8\}\), how many subsets in (\mathcal{P}(A)) have at most (2) elements?
Explanation opens after your attempt
Correct Answer
C. (37)
Concept
The number is \(\binom{8}{0}+\binom{8}{1}+\binom{8}{2}=1+8+28=37\). In exams, include the subset of size (0) in at most.
Why this answer is correct
The correct answer is C. (37). The number is \(\binom{8}{0}+\binom{8}{1}+\binom{8}{2}=1+8+28=37\). In exams, include the subset of size (0) in at most.
Exam Tip
संख्या \(\binom{8}{0}+\binom{8}{1}+\binom{8}{2}=1+8+28=37\) है। परीक्षा में at most में (0) size वाला subset भी जोड़ें।
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