If A and B are two sets such that n (A)=...

If A and B are two sets such that `n (A)=27, n(B)=35 and n(A cup B) =50`. Find `n(A cap B)`.

A

`10`

B

`13`

C

`12`

D

`15`

Verified by Experts

The correct Answer is:

C

We know that
` n(A cap B) =n(A)+ n(B) -n(A cap B)`
`rArr n(A cap B)=n(A) +n(B) -n( Acup B) =(27+35-50)=12`.
Hence, `n(Acap B) =12`.

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