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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 ( B − a ) - Mathematics

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प्रश्न

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

उत्तर

Given: 

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

\[ \text{ We know that sets follow the commutative property } . \]
\[ \therefore n(A \cap B) = n(B \cap A)\]
\[n(B - A) = n(B) - n(B \cap A)\]
\[ \Rightarrow n(B - A) = 26 - 4 = 22\]

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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 5.3 | पृष्ठ ४७

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