यदि (n(A)=5), तो (\mathcal{P}(A)) के कितने तत्वों में कम से कम (4) तत्व होंगे?
If (n(A)=5), how many elements of (\mathcal{P}(A)) have at least (4) elements?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
Subsets with at least (4) elements are (4)-element and (5)-element subsets. The count is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).
Why this answer is correct
The correct answer is A. (6). Subsets with at least (4) elements are (4)-element and (5)-element subsets. The count is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).
Exam Tip
कम से कम (4) तत्वों वाले उपसमुच्चय (4)-तत्वीय और (5)-तत्वीय होंगे। संख्या \(\binom{5}{4}+\binom{5}{5}=5+1=6\) है।
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