Question

Let A & B be 2 sets such that
N(A) = 35 m (A intersectionB)=11 M(A UB)'= 17.
n (U) = 57. Find N(B) N(A-B), n (B-A).​

Answer 1

Answer:

n(B)=16

n(A-B)=24

n(B-A)=5

Step-by-step explanation:

n(A)=35

n(A∩B)=11

n(A∪B)'=17

n(U)=57

n(A∪B)'=n(U)-n(A∪B)

17=57-n(A∪B)

n(A∪B)=57-17=40

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n(A∪B)=n(A)+n(B)-n(A∩B

40=35+n(B)+11

n(B)=40-35+11=16

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n(A-B)=n(A)-n(A∩B)

=35-11

n(A-B)=24

======================

n(B-A)=n(B)-n(A∩B)

=16-11

n(B-A)=5

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