Which of the following is correct?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $n (A ∪ B) = n (A) + n (B) – n (A ∩ B)$
In the Venn diagram,
$n (A ∪ B) = a + b + c$
$n(A) = a + c, n(B) = b + c$ and $n (A ∩ B) = c$
$n (A) + n (B) – n (A ∩ B) = (a + c) + (b + c)-c = a + b + c$
Hence, $n (A ∪ B) = n (A) + n (B) – n (A ∩ B)$.