Given that n(A n B) = 11, n(A n BnC) = 8, n(A n C) = 14, n(B n C) = 8, n(A n C') = 9, n(B n C') = 9, n(C) = 21, and n(A' n B' n C') =2, determine the number of element(s) in each of the disjoint regions labeled with Roman numerals in the Venn diagram below. II II VI IV VII VIII C. There are element(s) in region I, element(s) in region II, element(s) in region III, element(s) in region IV, element(s) in region V, element(s) in region VI, element(s) in region VII, and element(s) in region VIII.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 44E
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Given that n(A n B) = 11, n(A n Bn C) = 8, n(A n C) = 14, n(B n C) = 8, n(A n C') = 9, n(B n C') = 9, n(C) = 21, and n(A' n B'n C') =2, determine the number of element(s) in each of the disjoint regions labeled
with Roman numerals in the Venn diagram below.
1
II
II
VI
IV
II
VIII
There are element(s) in region I, element(s) in region II,
element(s) in region I,
element(s) in region IV, element(s) in region V, element(s) in region VI, element(s) in region VII, and
element(s) in region VIII.
Transcribed Image Text:Given that n(A n B) = 11, n(A n Bn C) = 8, n(A n C) = 14, n(B n C) = 8, n(A n C') = 9, n(B n C') = 9, n(C) = 21, and n(A' n B'n C') =2, determine the number of element(s) in each of the disjoint regions labeled with Roman numerals in the Venn diagram below. 1 II II VI IV II VIII There are element(s) in region I, element(s) in region II, element(s) in region I, element(s) in region IV, element(s) in region V, element(s) in region VI, element(s) in region VII, and element(s) in region VIII.
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