K Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet. n(U)=28, n(A)=19, n(B)=21, n(C)=20, n(An B) = 12, n(An C) = 18, n(B nC) = 15, n(AnBn C) = 9 ……. Select the correct choice below and fill in any answer boxes within your choice. OA. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are respectively. OB. It is impossible to meet the conditions because there are only elements in set A that are also in set B or C. A similar problem U A I IV II VII C VI III elements in set A but there are exists for set C. (Simplify your answers.) elements in set B but there are OC. It is impossible to meet the conditions because there are only elements in set B that are also in set A or C. A similar problem exists for set C. (Simplify your answers.) VIII

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 58E
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K
Use the Venn diagram and the given conditions to determine the number of elements in
each region, or explain why the conditions are impossible to meet.
n(U)=28, n(A)=19, n(B)=21, n(C)=20, n(An B) = 12, n(An C) = 18, n(B nC) = 15,
n(AnBn C) = 9
Select the correct choice below and fill in any answer boxes within your choice.
OA. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are
respectively.
OB. It is impossible to meet the conditions because there are only
elements in set A that are also in set B or C. A similar problem
OC. It is impossible to meet the conditions because there are only
elements in set B that are also in set A or C. A similar problem
View an example
E 3
Get more help.
.....
a
S
W
U A
I
Clear all
IV
II
VII
C
VI
elements in set A but there are
exists for set C. (Simplify your answers.)
elements in set B but there are
exists for set C. (Simplify your answers.)
III
96°F
VIII
Check answer
(8)
Transcribed Image Text:K Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet. n(U)=28, n(A)=19, n(B)=21, n(C)=20, n(An B) = 12, n(An C) = 18, n(B nC) = 15, n(AnBn C) = 9 Select the correct choice below and fill in any answer boxes within your choice. OA. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are respectively. OB. It is impossible to meet the conditions because there are only elements in set A that are also in set B or C. A similar problem OC. It is impossible to meet the conditions because there are only elements in set B that are also in set A or C. A similar problem View an example E 3 Get more help. ..... a S W U A I Clear all IV II VII C VI elements in set A but there are exists for set C. (Simplify your answers.) elements in set B but there are exists for set C. (Simplify your answers.) III 96°F VIII Check answer (8)
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