SOLUTION: A and B are subsets of universal set U. If n(U)=28, n(A)=11, n(B′)=19, and n(A∪B)=18, find the number of elements in each of the following sets. What is n(A∩B

Algebra ->  Probability-and-statistics -> SOLUTION: A and B are subsets of universal set U. If n(U)=28, n(A)=11, n(B′)=19, and n(A∪B)=18, find the number of elements in each of the following sets. What is n(A∩B      Log On


   



Question 1121829: A and B are subsets of universal set U. If n(U)=28, n(A)=11, n(B′)=19, and n(A∪B)=18, find the number of elements in each of the following sets.
What is n(A∩B)?

What is n(A′∩B)?

What is n(A∪B′)?

Answer by solver91311(24713) About Me  (Show Source):
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Since n(U) = 28 and n(B') = 19, n(B) must be 28 - 19 = 9.

Since n(A) + n(B) = 20 and n(A∪B) = 18, then n(A∩B) = 20 - 18 = 2]


John

My calculator said it, I believe it, that settles it