Question

Let A and B be two sets such that n(A)=20, n(AuB)=41, n(AnB)=2

find n(B), n(A-B) and n(B-A)

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Answer 1

Answer:

Given:

n(A)=20

n(AUB)=41

n(AnB)=2

n(B)=?

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

41=20+n(B)-2

41=18+n(B)

41-18=n(B)

23=n(B)

n(A-B)= 20-23

=-3

n(B-A)=23-20

=3.

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