Question: If A and B are two sets such that $n ( A \cup B ) = 110$, then $n ( A \cap B )$ is equal to...

Question

If A and B are two sets such that $n ( A \cup B ) = 110$ , then $n ( A \cap B )$ is equal to

Answer 1

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

⇒ 110 = 70 + 60 – n(A ∩ B)

$\therefore$ $n ( A \cap B ) = 130 - 110 = 20$ .

Question: If A and B are two sets such that \(n ( A \cup B ) = 110\), then \(n ( A \cap B )\) is equal to...