Question

If n(a)=20,n(b)=50,n(a union b)=60and n(b')=20,find n(a intersection b)and n(union)​

Answer 1

Answer:

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Explanation:

n(A)=20,n(B)=50,n(A∪B)=60 and n(B′)=20  

We know that

n(A∩B)=n(A)+n(B)−n(A∪B)  

n(A∩B)=20+50–60=10  

Also n(B′)=n(U)−n(B)  

So 20=n(U)−50  

n(U)=50+20=70