Auniversal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18, n(An B) = n(An C) = n(BnC) =9, n(A NBNC) =6, and n(A UBUC) = 15, determine each of the following. a) n(A U B) b) n (A' UC) c) n(ANB) a) n(A U B) = 15 (Simplify your answer.) b) n (A' UC) =O (Simplify your answer.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 22E
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Auniversal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18, n(An B) = n(AnC)=n(BnC) =9, n(A NBNC) =6, and n(A UBUC) = 15, determine each of the following.
a) n(A U B)
b) n (A' UC)
c) n(ANB)
a) n(A U B) = 15
(Simplify your answer.)
b) n (A' UC) =O
(Simplify your answer.)
Transcribed Image Text:Auniversal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18, n(An B) = n(AnC)=n(BnC) =9, n(A NBNC) =6, and n(A UBUC) = 15, determine each of the following. a) n(A U B) b) n (A' UC) c) n(ANB) a) n(A U B) = 15 (Simplify your answer.) b) n (A' UC) =O (Simplify your answer.)
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