यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), और \(B=\{2,3,5,8\}\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है?

If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\), what is (|\mathcal{P}(\(A\cup B\)')|)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.

Step 2

Why this answer is correct

The correct answer is B. (4). \(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.

Step 3

Exam Tip

\(A\cup B={1,2,3,5,7,8}\), इसलिए complement ({4,6}) है और power set size \(2^2=4\)। परीक्षा में पहले union फिर complement लें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), और \(B=\{2,3,5,8\}\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है? / If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\), what is (|\mathcal{P}(\(A\cup B\)')|)?

Correct Answer: B. (4). Explanation: \(A\cup B={1,2,3,5,7,8}\), इसलिए complement ({4,6}) है और power set size \(2^2=4\)। परीक्षा में पहले union फिर complement लें। / \(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.

Which concept should I revise for this Mathematics MCQ?

\(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.

What exam hint can help solve this Mathematics question?

\(A\cup B={1,2,3,5,7,8}\), इसलिए complement ({4,6}) है और power set size \(2^2=4\)। परीक्षा में पहले union फिर complement लें।