A universal 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(A nc)= n(B n C) = 9, n(ANBN C) = 6, and n(A U BUC) = 15, determine each of the following. a) n(A U B) b) n (A' UC) c) n(AnB) a) n(A U B) =O (Simplify your answer.)
A universal 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(A nc)= n(B n C) = 9, n(ANBN C) = 6, and n(A U BUC) = 15, determine each of the following. a) n(A U B) b) n (A' UC) c) n(AnB) a) n(A U B) =O (Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
Transcribed Image Text:A universal set U consists of 18 elements. If sets A, B, and C are proper subsets of U and n(U) = 18, n(A N B) = n(An C)= n(B nc) = 9, n(A N Bn C) = 6, and n(A UBUC) = 15, determine each of the following.
a) n(A U B)
b) n (A' U C)
c) n(ANB)
.....
a) n(A U B) =
(Simplify your answer.)
Roc
Re
Re
G

Transcribed Image Text:At a community college, a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that
167 studied in the library.
130 studied in the cafeteria.
79 studied in both the library and the cafeteria.
Complete parts a) through c).
a) Of those students surveyed, how many studied only in the library?
88 (Type a whole number.)
b) Of those students surveyed, how many studied only in the cafeteria?
51 (Type a whole number.)
c) Of those students surveyed, how many did not study in either of these places?
|(Type a whole number.)
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