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General

Easy

Question

# Let A and B be two sets such that n(A) = 70, n(B) = 60 and = 110. Then is equal to-

- 240
- 20
- 100
- 120

## The correct answer is: 20

### To find the value of n(A∩B)

Given, n(A) = 70

n(B) = 60

$n(A∪B) = 110$

$n(A∪B)=n(A)+n(B)−n(A∩B)$

$n(A∩B)=n(A)+n(B)−n(A∪B)$

$=70+60−110$
$=20$

$n(A∩B)=n(A)+n(B)−n(A∪B)$

Therefore, n(A∩B) = 20

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