यदि (n(\mathcal{P}(A))=32) और (n(U)=13), तो (A') के (2)-तत्वीय उपसमुच्चयों की संख्या कितनी है?

If (n(\mathcal{P}(A))=32) and (n(U)=13), how many (2)-element subsets does (A') have?

Explanation opens after your attempt
Correct Answer

B. (28)

Step 1

Concept

Since \(2^{n(A)}=32\), (n(A)=5) and (n(A')=8). The number of (2)-element subsets of (A') is \(\binom{8}{2}=28\).

Step 2

Why this answer is correct

The correct answer is B. (28). Since \(2^{n(A)}=32\), (n(A)=5) and (n(A')=8). The number of (2)-element subsets of (A') is \(\binom{8}{2}=28\).

Step 3

Exam Tip

\(2^{n(A)}=32\), इसलिए (n(A)=5) और (n(A')=8)। (A') के (2)-तत्वीय उपसमुच्चय \(\binom{8}{2}=28\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि (n(\mathcal{P}(A))=32) और (n(U)=13), तो (A') के (2)-तत्वीय उपसमुच्चयों की संख्या कितनी है? / If (n(\mathcal{P}(A))=32) and (n(U)=13), how many (2)-element subsets does (A') have?

Correct Answer: B. (28). Explanation: \(2^{n(A)}=32\), इसलिए (n(A)=5) और (n(A')=8)। (A') के (2)-तत्वीय उपसमुच्चय \(\binom{8}{2}=28\) होंगे। / Since \(2^{n(A)}=32\), (n(A)=5) and (n(A')=8). The number of (2)-element subsets of (A') is \(\binom{8}{2}=28\).

Which concept should I revise for this Mathematics MCQ?

Since \(2^{n(A)}=32\), (n(A)=5) and (n(A')=8). The number of (2)-element subsets of (A') is \(\binom{8}{2}=28\).

What exam hint can help solve this Mathematics question?

\(2^{n(A)}=32\), इसलिए (n(A)=5) और (n(A')=8)। (A') के (2)-तत्वीय उपसमुच्चय \(\binom{8}{2}=28\) होंगे।