यदि (|U|=10), (|A|=6), और (|B|=5), \(|A\cap B|=3\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है?

If (|U|=10), (|A|=6), (|B|=5), and \(|A\cap B|=3\), what is (|\mathcal{P}(\(A\cup B\)')|)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.

Step 2

Why this answer is correct

The correct answer is B. (4). \(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.

Step 3

Exam Tip

\(|A\cup B|=6+5-3=8\), इसलिए complement में (2) तत्व हैं और power set size \(2^2=4\) है। परीक्षा में inclusion-exclusion लगाएं।

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Mathematics Answer, Explanation and Revision Hints

यदि (|U|=10), (|A|=6), और (|B|=5), \(|A\cap B|=3\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है? / If (|U|=10), (|A|=6), (|B|=5), and \(|A\cap B|=3\), what is (|\mathcal{P}(\(A\cup B\)')|)?

Correct Answer: B. (4). Explanation: \(|A\cup B|=6+5-3=8\), इसलिए complement में (2) तत्व हैं और power set size \(2^2=4\) है। परीक्षा में inclusion-exclusion लगाएं। / \(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.

Which concept should I revise for this Mathematics MCQ?

\(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.

What exam hint can help solve this Mathematics question?

\(|A\cup B|=6+5-3=8\), इसलिए complement में (2) तत्व हैं और power set size \(2^2=4\) है। परीक्षा में inclusion-exclusion लगाएं।