Question

If n(A-B) =12 ,n(B-A) = 16 and n(A∩B)=5 ,find :

I. n(A)​

Answer 1

Step-by-step explanation:

If n(A−B)=12,n(B−A)=16 and n(A∩B)=5, find:

(i) n(A)

(ii) n(B)

(iii) n(A∪B)

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ANSWER

From the question it is given that,

n(A−B)=12

n(B−A)=16

n(A∩B)=5

(i) n(A)

We know that, n(A)=n(A−B)+n(A∩B)

=12+5

=17

(ii) n(B)

We know that, n(B)=n(B−A)+n(A∩B)

n(B)

=16+5

=21

(iii) n(A∪B)

We know that, n(A∪B)=n(A)+n(B)−n(A∩B)

=17+21−5

=38−5

n(A∪B)=33