Question

Let A and B be two set such that n(A) = 20 , n (A u B) = 42 and n( A n B) = 4
Find
(1) n(A)
(2) n (A - B )
(3) n ( B - A)

Answer 1

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Answer 2

Step-by-step explanation:

Hola !

To find n(A),

we can use the formula,

n(AUB)=n(A)+n(B)-n(A∩B)

42=20+n(B)-4

22=n(B)-4

n(B)=26

And,

n(A−B)=n(A)−n(A∩B)

n(A−B)=20−4

=16

And,

n(B−A)=n(B)−n(A∩B)

n(B−A)=26−4

=22

Thank you !

# Astro