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Intersections and Complements with cardinalities: n(A) = 2 and n(B) = 4 and n(S) = 25. If A ⊂ B, what is: 1) n(A ∩ B) 2) n(Ac ∩ Bc) 3) n(Ac ∩ B)

Intersections and Complements with cardinalities: n(A) = 2 and n(B) = 4 and n(S) = 25. If A ⊂ B, what is: 1) n(A ∩ B) 2) n(Ac ∩ Bc) 3) n(Ac ∩ B)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Intersections and Complements with cardinalities:

n(A) = 2 and n(B) = 4 and n(S) = 25. If A ⊂ B, what is:

1) n(A ∩ B)

2) n(Ac ∩ Bc)

3) n(Ac ∩ B)

 

I only understand that n(A∪B) = 6. Im a bit confused once complements and intersections come into play. I would love explanations on how to do these sample problems. Thank you!

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