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Out of \(500\) car owners investigated, \(400\) owned car \(A\) and \(200\) owned car \(B\), \(50\) owned both \(A\) and \(B\) cars. Is this data correct?
 
Proof:
 
\(n(A \cup B) = \)
 
\(n(A) = \)
 
\(n(B) = \)
 
\(n(A \cap B) = \)
 
\(n(A) + n(B) - n(A \cap B) = \)
 
 
The given data is .