यदि (A) में (n) तत्व हैं और (\mathcal{P}(A)) में (64) तत्व हैं, तो (A) के (3)-तत्वीय उपसमुच्चय कितने होंगे?
If (A) has (n) elements and (\mathcal{P}(A)) has (64) elements, how many (3)-element subsets does (A) have?
Explanation opens after your attempt
Correct Answer
C. (20)
Concept
Since \(2^n=64\), (n=6). The number of (3)-element subsets is \(\binom{6}{3}=20\).
Why this answer is correct
The correct answer is C. (20). Since \(2^n=64\), (n=6). The number of (3)-element subsets is \(\binom{6}{3}=20\).
Exam Tip
\(2^n=64\), इसलिए (n=6) है। (3)-तत्वीय उपसमुच्चय \(\binom{6}{3}=20\) होंगे।
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