Question

If A and B are subsets of universal set X and n(X)=50, n(A)=35, n(B)=20, n(A'∩B')=5 then n(A∩B)= ______​

Answer 1

Solution-:

n(A)=35, n(B)=20, n(A'∩B')=5

To find n(A∩B)

n(A∪B)= n(A) + n(B) - n(A∩B)

n(A∩B)= n(A) + n(B) - n(A∪B)

= 35+20-45

= 45-55

= 10

Answer-: n(A∩B)= 10