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. II III n(U) = 38, n(A) = 15, n(B) = 25, n(C) = 23, n(AN B)=9, n(A n C) = 10, n(B n C) = 14, n(A n Bn C) =7 VI IV VII VIII First decide whether or not the conditions are possible to meet. Select the correct choice below and fill in the answer box(es) within your choice. O A. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are D蘭寶臺L.respectively elements in set A that are also in set B or C. A similar O B. It is impossible to meet the conditions because there are only problem exists for set C. (Simplify your answers.) elements in set A but there are elements in set B that are also in set A or C. A similar O C. It is impossible to meet the conditions because there are only problem exists for set C. (Simplify your answers.) elements in set B but there are SS
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. II III n(U) = 38, n(A) = 15, n(B) = 25, n(C) = 23, n(AN B)=9, n(A n C) = 10, n(B n C) = 14, n(A n Bn C) =7 VI IV VII VIII First decide whether or not the conditions are possible to meet. Select the correct choice below and fill in the answer box(es) within your choice. O A. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are D蘭寶臺L.respectively elements in set A that are also in set B or C. A similar O B. It is impossible to meet the conditions because there are only problem exists for set C. (Simplify your answers.) elements in set A but there are elements in set B that are also in set A or C. A similar O C. It is impossible to meet the conditions because there are only problem exists for set C. (Simplify your answers.) elements in set B but there are SS
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
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Could you solve both of these thank you
Transcribed Image Text: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.
UA
I
II
III
V
n(U) = 38, n(A) = 15, n(B) = 25, n(C) = 23, n(A n B) = 9, n(A n C) = 10, n(B n C) = 14, n(A n Bn C) = 7
VI
IV
VII
VIII
C
First decide whether or not the conditions are possible to meet. Select the correct choice below and fill in the answer box(es) within your choice.
00園圍蘭臺.., respectively.
O A. The number of elements in regions I, II, II, IV, V, VI, VII, VIII are
elements in set A but there are
elements in set A that are also in set B or C. A similar
O B. It is impossible to meet the conditions because there are only
problem exists for set C. (Simplify your answers.)
elements in set B but there are
elements in set B that are also in set A or C. A similar
O C. It is impossible to meet the conditions because there are only
problem exists for set C. (Simplify your answers.)
SS
Transcribed Image Text:Given the following sets, find the set A' n (Bu C).
U=(1, 2, 3, .. . , 8}
A= {1, 2, 4, 7}
B = {2, 3, 4}
C = {1, 2, 3, 4, 5}
運
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. A'n (BUC') = { }
(Use a comma to separate answers as needed. Use ascending order.)
Question Vie
O B. A' n (BUC') is the empty set.
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