We have the following sets : A={x,y,z}, B={1,2}. What are all the possible subsets of AxB?

Q: List all possible subsets 1. E = {1, 2, 3, 4} 2. D = {1, 2, 3} 3. C = {1, 2} 4. B = {1}

A: To find: The subsets of all given sets.

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: c. How many ways can you choose 3 pieces from the 4 kings and queens (black king, white king, black…

A: Here, order matters. Therefore permutation rule can be applied. Permutation Rule: A permutation is…

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: 6. The sets A and B are defined as: A = {2, 5, 7} B = {*, +} (a) Express the set A x B in roster…

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Q: Let A= {1, 2, 3, 4, 5} and B = {∅}. Find A ∪ B.

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Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

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Q: How many subsets does the set X = {r, s, t, 10, 20, 15} have? %3D

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Q: Let A = {1,2} and B = {3, 4}. (a) Find A x B (b) How many subsets Ax B of size 2 are there? List…

A: Given that A= {1, 2} and B= {3, 4}A x B is the cartesian product

Q: Find the number of subsets that can be formed from a set containing 10 elements.

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Q: List all the subsets of the set A = {a, b, c, d}

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Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: 12. List all possible subsets of the set {2,, d}

A: Given set : { 2 , π , d }

Q: In lectures we have seen that the set {1, 2, . . . , n} has 2n subsets. Now say that a set is…

A: Find the number of set

Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

Q: Show that the following statement is false. If A and B are two sets of positive integers, then…

A: Let A={2,3,4}    B={5,6,7} U={1,2,3,4,5,6,7} Now, A'={ 1,5,6,7}  B' ={1,2,3,4} Now,…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

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Q: Is A a subset of B if A = {2, 3, 5, 7, 8, 9, 10} andB = {3, 5, 8, 9}?

A: The given sets are, A=2,3,5,7,8,9,10B=3,5,8,9 A set A can be said to be the subset of another set B…

Q: Let A = {1, 2}. List all the subsets of A. Let B = {1, 2, 3}. List all the subse

A: 1. Let A=1,2find the subsets of A.2.Let B=1,2,3list the subsets of B which are not contained in A.

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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Q: Determine whether each of these pairs of set are equal 1 (5,6,7,8,9,10) (1,2,3,3,4,4) = 2.…

A: We know that two sets A and B can be equal only if each element of set A is also the element of the…

Q: How many subsets are there of the set N = {6, 49}?

A: