If A and B are not disjoint sets, then n(A ? B) is equal to

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Solution

Q.
If A and B are not disjoint sets, then $n (A \cup B)$ is equal to

1 $n (A) + n (B)$

2 $n (A) + n (B) - n (A \cap B)$

3 $n (A) + n (B) + n (A \cap B)$

4 $n (A) n (B)$

Ans.
(2)

$Since A, B are not disjoint sets,$

$\Rightarrow$ $A \cap B \neq ϕ$

$So, n (A \cap B) \neq 0$

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

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