यदि \(A=\{1,2,3,4,5,6,7\}\) है, तो (\mathcal{P}(A)) में कम से कम (5) तत्वों वाले subsets कितने हैं?
If \(A=\{1,2,3,4,5,6,7\}\), how many subsets in (\mathcal{P}(A)) have at least (5) elements?
Explanation opens after your attempt
Correct Answer
B. (29)
Concept
The number is \(\binom{7}{5}+\binom{7}{6}+\binom{7}{7}=21+7+1=29\). In exams, at least means adding all larger sizes.
Why this answer is correct
The correct answer is B. (29). The number is \(\binom{7}{5}+\binom{7}{6}+\binom{7}{7}=21+7+1=29\). In exams, at least means adding all larger sizes.
Exam Tip
संख्या \(\binom{7}{5}+\binom{7}{6}+\binom{7}{7}=21+7+1=29\) है। परीक्षा में at least का अर्थ सभी बड़े sizes जोड़ना है।
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