A universal set U consists of 23 elements. If sets A, B, and C are proper subsets of U and n(U) = 23, n(An B) = n(An C)= n(B n C) = 11, n(An Bn C)= 6, and n(A UBŲC) =21, determine each of the following. a) n(A U B) b) n (A' U C) c) n(An B)' a) n(A U B) = 21 (Simplify your answer.) b) n (A' U C) = D (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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There are i believe 4 steps to this you would need to answer all as well the first time i sent this one in it had gotten the wrong answer.

A universal set U consists of 23 elements. If sets A, B, and C are proper subsets of U and n(U) = 23, n(A n B) = n(A n C)= n(B n C) = 11, n(A n Bn C) = 6, and n(A UBUC) = 21, determine each of the following.
a) n(A U B)
b) n (A' U C)
c) n (An B)'
.....
a) n(A U B) = 21
(Simplify your answer.)
b) n (A' UC) =O
(Simplify your answer.)
Transcribed Image Text:A universal set U consists of 23 elements. If sets A, B, and C are proper subsets of U and n(U) = 23, n(A n B) = n(A n C)= n(B n C) = 11, n(A n Bn C) = 6, and n(A UBUC) = 21, determine each of the following. a) n(A U B) b) n (A' U C) c) n (An B)' ..... a) n(A U B) = 21 (Simplify your answer.) b) n (A' UC) =O (Simplify your answer.)
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