यदि \(U={1,2,\ldots,45}\), \(A={x:x \in U,3\mid x}\), \(B={x:x \in U,5\mid x}\), तो (n\(A'\cup B'\)) क्या है?
If \(U={1,2,\ldots,45}\), \(A={x:x \in U,3\mid x}\), \(B={x:x \in U,5\mid x}\), what is (n\(A'\cup B'\))?
Explanation opens after your attempt
Correct Answer
A. (42)
Concept
By De Morgan, (A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (3) multiples of (15), so the complement has (45-3=42) elements.
Why this answer is correct
The correct answer is A. (42). By De Morgan, (A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (3) multiples of (15), so the complement has (45-3=42) elements.
Exam Tip
डी मॉर्गन से (A'\cup B'=\(A\cap B\)') है। \(A\cap B\) में (15) के (3) गुणज हैं, इसलिए पूरक (45-3=42) है।
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