Question

n(A - B)= 12, n(B - A)= 16, n(A intersection B)= 5. Find n(A), n(B)​

Answer 1

Answer:

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Step-by-step explanation:

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