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Let a and B Be Two Sets Such that : N ( a ) = 20 , N ( a ∪ B ) = 42 and N ( a ∩ B ) = 4 N ( a − B ) - Mathematics

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प्रश्न

Let A and B be two sets such that : \[n \left( A \right) = 20, n \left( A \cup B \right) = 42 \text{ and } n \left( A \cap B \right) = 4\] \[n \left( A - B \right)\]

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उत्तर

Given: 

\[n \left( A \right) = 20, n \left( A \cup B \right) = 42 \text{ and } n \left( A \cap B \right) = 4\]  

\[ n(A - B) = n(A) - n(A \cap B)\]
\[ \Rightarrow n(A - B) = 20 - 4 = 16\]

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अध्याय 1: Sets - Exercise 1.08 [पृष्ठ ४७]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.08 | Q 5.2 | पृष्ठ ४७

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