The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to determine the number of elements in each of the other seven regions. n(U) = 44, n(A) = 20, n(B) = 18, n(C)= 20, n(ANB) = 11, n(ANC) = 10, n(BNC) = 6 elements in region I. elements in region II. There are There are There are 5 elements in region III. There are 6 elements in region IV. There are 2 elements in region VI. There are elements in region VII. ... A I II V IV 4 VII B III VI VIII

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A?
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The accompanying Venn diagram shows the number of elements in region V. Use the
given cardinalities to determine the number of elements in each of the other seven
regions.
n(U) = 44, n(A) = 20, n(B) = 18,
n(C)= 20, n(ANB) = 11,
n(ANC) = 10, n(BNC) = 6
There are
There are
There are 5
elements in region III.
There are 6
elements in region IV.
There are 2 elements in region VI.
There are elements in region VII.
elements in region I.
elements in region II.
example
Get more help -
HE
C
=
Vi
A
I
T
L.
IV
II
V
4 VI
VII
B
3
III
VIII
More
CI
9
Transcribed Image Text:The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to determine the number of elements in each of the other seven regions. n(U) = 44, n(A) = 20, n(B) = 18, n(C)= 20, n(ANB) = 11, n(ANC) = 10, n(BNC) = 6 There are There are There are 5 elements in region III. There are 6 elements in region IV. There are 2 elements in region VI. There are elements in region VII. elements in region I. elements in region II. example Get more help - HE C = Vi A I T L. IV II V 4 VI VII B 3 III VIII More CI 9
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Follow-up Question
Use the Venn diagram shown to the right to determine whether the given sets are equal for all sets A and B.
ANB', (AUB')'
Choose the correct answer below.
O A. ANB' and (AUB')' are not equal for all sets A and B.
O B. AnB' and (AUB')' are equal for all sets A and B.
C
I
II III
B
IV
Transcribed Image Text:Use the Venn diagram shown to the right to determine whether the given sets are equal for all sets A and B. ANB', (AUB')' Choose the correct answer below. O A. ANB' and (AUB')' are not equal for all sets A and B. O B. AnB' and (AUB')' are equal for all sets A and B. C I II III B IV
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