Question

If A and B are two sets such that n(A) = 80, n(B) = 78, n(A∪B) = 118, then find n(A∩B)

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Answer 1

Answer:

n(A) = 80

n(B) =78

n(AUB)=118

n(AnB)=?

n(AUB)=n(A) + n(B) - n(AnB)

118 = 80 + 78 - n(AnB)

n(AnB)= 158 -118

n(AnB)= 40