Suppose Set B contains 16 elements and the total number elements in either Set A or Set B is 39. If the Sets A and B have 9 elements in common, how many elements are contained in set A?
Answer = elements
Let S be the universal set, where:
S = {1, 2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A = {1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 18, 19}
Set B = {1, 2, 4, 5, 7, 8, 12, 14, 15, 17, 20}
Find the following:
LIST the elements in the set (A U B):
(A U B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (A n B):
(A n B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
n(A n B n C^c) =
Let S be the universal set, where:
S = {1, 2, 3, ..., 28, 29, 30}
Let sets A and B be subsets of S, where:
Set A = {1, 3, 12, 17, 29}
Set B = {3, 10, 15, 23}
Set C = {2, 8, 11, 13, 14, 18, 21, 24, 26, 27}
LIST the elements in the set (A U B U C)
(A U B U C) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (A n B n C)
(A n B n C) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.