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If Aand B are two sets such that n(AB)=36, n(AB)=16 and n(A~B)=15, then n(B) is equal to

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By Expert Faculty of Sri Chaitanya
a
21
b
31
c
20
d
52
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detailed solution

Correct option is A

n(A~B)=n(A)−n(A∩B)⇒15=n(A)−16⇒n(A)=31n(A∪B)=n(A)+n(B)−n(A∩B)⇒36=31+n(B)−16⇒ n(B)=21.


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