Let A and B be subsets of a universal set U and suppose

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Let A and B be subsets of a universal set U and suppose n(U) = 300n(A) = 150n(B) = 120, and n(A ∩ B) = 60. Compute:

Jun 10th, 2015

Pls post the full question.....................................................................................................................................................................

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 10th, 2015

Let A and B be subsets of a universal set U and suppose n(U) = 300, n(A) = 150, n(B) = 120, and n(AB) = 60. Compute:

(a)  n(A ∪ B)
 

(b)  n(Ac)
 

(c)  n(A ∩ Bc)

Jun 10th, 2015

a. 210

b.  150

c. 90


Jun 10th, 2015

Thank you for the help but can you explain how to solve this?

Jun 10th, 2015


Use the below formulas

1. n(A ∪ B) = n(A)+n(B)-n(A ∩ B)

2.  
n(Ac) + n(a) = n(u)

3. n(A ∩ B^c) = n(A -B) =  150 -60 = 90


Jun 10th, 2015

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