यदि (n(U)=75), (n(A)=28), (n(B)=35) और (n\(A\cup B\)=50), तो (n(\(A'\cap B'\)')) क्या है?
If (n(U)=75), (n(A)=28), (n(B)=35), and (n\(A\cup B\)=50), what is (n(\(A'\cap B'\)'))?
Explanation opens after your attempt
A. (50)
Concept
By De Morgan's law, (A'\cap B'=\(A\cup B\)'). Hence (\(A'\cap B'\)'=A\cup B), whose cardinality is (50).
Why this answer is correct
The correct answer is A. (50). By De Morgan's law, (A'\cap B'=\(A\cup B\)'). Hence (\(A'\cap B'\)'=A\cup B), whose cardinality is (50).
Exam Tip
डी मॉर्गन से (A'\cap B'=\(A\cup B\)') है। इसलिए (\(A'\cap B'\)'=A\cup B), जिसकी संख्या (50) है।
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