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Cardinal Properties

If A and B ar...

Question

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

A

240

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B

50

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C

40

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D

20

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Solution

The correct option is D
20

We have :

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

= 70+60-110= 20

= 20

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Similar questions

Q. If A and B are two sets such that

n (A) = 70, n (B) = 60, n (A \cup B) = 110

n (A \cap B)

is equal to
(a) 240
(b) 50
(c) 40
(d) 20

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be two sets such that

n (A) = 70, n (B) = 60

n (A \cup B) = 110

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be two sets such that

n (A) = 70

n (B) = 90

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is the universal set with 100 element;

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are two set such that

n (A) = 50, n (B) = 60, n (A \cap B) = 20

n (A^{'} \cap B^{'}) =

If A and B are two disjoint sets, then $n (A \cup B)$ is equal to

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