If \( n(A)=300, n(A \cup B)=500, n(A \cap B)=50 \) and \( n\left(B^{\p

1.	If \( n(A)=300, n(A \cup B)=500, n(A \cap B)=50 \) and \( n\left(B^{\prime}\right)=350 \), find \( n(B) \) and \( n( U ) \)
Answer» \(n (A \cup B) = n(A) + n(B) - n(A \cap B) \) ⇒ \(500 = 300 + n(B) - 50\) ⇒ \(n(B) = 500 - 250 = 250\) Also, \(n(B') = 350\) (given) ⇒ \(n(U) - n(B) = 350\) ⇒ \(n(U) = 350 + n(B) = 350 + 250 = 600\)

If \( n(A)=300, n(A \cup B)=500, n(A \cap B)=50 \) and \( n\left(B^{\prime}\right)=350 \), find \( n(B) \) and \( n( U ) \)

Answer»

\(n (A \cup B) = n(A) + n(B) - n(A \cap B) \)

⇒ \(500 = 300 + n(B) - 50\)

⇒ \(n(B) = 500 - 250 = 250\)

Also,

\(n(B') = 350\) (given)

⇒ \(n(U) - n(B) = 350\)

⇒ \(n(U) = 350 + n(B) = 350 + 250 = 600\)

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If \( n(A)=300, n(A \cup B)=500, n(A \cap B)=50 \) and \( n\left(B^{\prime}\right)=350 \), find \( n(B) \) and \( n( U ) \)

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