If A and B are two sets such that n(A)=70, n(B)=60, n(A )=110, th… - Vidyadip

MCQ

If $A$ and $B$ are two sets such that $\text{n(A)}=70, \text{ n(B)}=60, \text{ n(A}\cup\text{B)}=110,$ then $\text{n(A}\cap\text{B)}$ is equal to :

A
$240$
B
$50$
C
$40$
✓
$20.$

✓

Answer

Correct option: D.

$20.$

We have:
$\text{n(A}\cap\text{B) = n(A) + n(B)} - \text{n(A}\cup\text{B)}$
$=70+60-110$
$=20.$

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