यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\) है, तो (\(A\cap B\)') में कितने अवयव हैं?

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), how many elements are in (\(A\cap B\)')?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

\(A\cap B={3,4}\), so the complement has (10-2=8) elements. Subtract the size of the intersection from the total.

Step 2

Why this answer is correct

The correct answer is A. (8). \(A\cap B={3,4}\), so the complement has (10-2=8) elements. Subtract the size of the intersection from the total.

Step 3

Exam Tip

\(A\cap B={3,4}\), इसलिए पूरक में (10-2=8) अवयव होंगे। प्रतिच्छेद की संख्या कुल से घटाएं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\) है, तो (\(A\cap B\)') में कितने अवयव हैं? / If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), how many elements are in (\(A\cap B\)')?

Correct Answer: A. (8). Explanation: \(A\cap B={3,4}\), इसलिए पूरक में (10-2=8) अवयव होंगे। प्रतिच्छेद की संख्या कुल से घटाएं। / \(A\cap B={3,4}\), so the complement has (10-2=8) elements. Subtract the size of the intersection from the total.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B={3,4}\), so the complement has (10-2=8) elements. Subtract the size of the intersection from the total.

What exam hint can help solve this Mathematics question?

\(A\cap B={3,4}\), इसलिए पूरक में (10-2=8) अवयव होंगे। प्रतिच्छेद की संख्या कुल से घटाएं।