Question

ii) If ( ∪ ) = 31, () = 20, () = 22, What is ( ∩ )?​

Answer 1

Step-by-step explanation:

Given:

n(A)=20,

n(A∪B)=42

n(A∩B)=4

(i)

n(A∪B)=n(A)+n(B)−n(A∩B)

42=20+n(B)−4

n(B)=42−20+4=26

(ii

n(A−B)=n(A)−n(A∩B)

n(A−B)=20−4=16

(iii

n(B−A)=n(B)−n(A∩B)

n(B−A)=26−4=22

Answer 2

Answer:

11

31=20+22-Π

Π=11

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