यदि \(U={1,2,\ldots,30}\), \(A={x:x\in U,\ 2\mid x}\) और \(B={x:x\in U,\ 3\mid x}\) हैं, तो (n\(A\cup B\)) क्या है?
If \(U={1,2,\ldots,30}\), \(A={x:x\in U,\ 2\mid x}\) and \(B={x:x\in U,\ 3\mid x}\), what is (n\(A\cup B\))?
Explanation opens after your attempt
Correct Answer
A. (20)
Concept
(n(A)=15), (n(B)=10) and (n\(A\cap B\)=5), so (n\(A\cup B\)=20). Use inclusion-exclusion in such counting questions.
Why this answer is correct
The correct answer is A. (20). (n(A)=15), (n(B)=10) and (n\(A\cap B\)=5), so (n\(A\cup B\)=20). Use inclusion-exclusion in such counting questions.
Exam Tip
(n(A)=15), (n(B)=10) और (n\(A\cap B\)=5), इसलिए (n\(A\cup B\)=20)। ऐसी गिनती में समावेशन-बहिष्करण याद रखें।
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