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If a and B Are Two Sets Such that N ( a ) = 70 , N ( B ) = 60 , N ( a ∪ B ) = 110 Then N ( a ∩ B ) - Mathematics

MCQ

If A and B are two sets such that \[n \left( A \right) = 70, n \left( B \right) = 60, n \left( A \cup B \right) = 110\] then \[n \left( A \cap B \right)\] 

Options

  • (a) 240 

  • (b) 50 

  • (c) 40 

  • (d) 20 

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Solution

(d) 20
We have: 

\[n(A \cap B) = n\left( A \right) + n\left( B \right) - n(A \cup B)\]
\[ = 70 + 60 - 110\]
\[ = 20\]

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Q 18 | Page 50
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