Find the number of elements in the set (A∪B∪C)(A∪B∪C) n(A∪B∪C)n(A∪B∪C) =  Find the number of elements in the set (A∩B∩C)(A∩B∩C) n(A∩B∩C)n(A∩B∩C) =

Q: Let U be the universal set, where: U = {a, b, c, d, e, f, g, h, i, j} Let sets A, B, and C be…

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Q: Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9} Let sets A, B, and C…

A: Given that               U={1,2,3,4,5,6,7,8,9} Let sets A, B, and C be subsets of U, where:…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9} Let sets AA, BB, and…

A: We have: U=1, 2, 3, 4, 5, 6, 7, 8, 9A=2, 5, 6, 9B=5, 6, 7, 8 ,9C=1, 2, 7, 8, 9

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

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Q: Let S be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets A and B be…

A: Given:- S={1,2,3,...,28,29,30} A={1,2,9,10,12,19,23,26,29} B={5,6,19,21,22,23,24,30}…

Q: Let S be the universal set, where: {1, 2, 3, ..., 18, 19, 20} S Let sets A and B be subsets of S,…

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Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given universal set is, S={1,2,3,...,18,19,20} and the sets A&B are, A={1,4,6,11,12,14,18,19,20}…

Q: Let S be the universal set, where: S = {1,2, 3, .., 28, 29, 30} Let sets A and B be subsets of S,…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, e, f, g}, B =…

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Q: Let the universal set U {1,2, 3,..., 10}. Let A = {1,4, 7, 10}, B= {1,2, 3, 4, 5}, and C = {2,4, 6,…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

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Q: Let the Universal set be the letters a through j: U={a,b,...,i,j}U={a,b,...,i,j} . Let A=A=  {a, c,…

A: The given sets are as follows-         U={a,b,c,d,e,f,g,h,i,j} and  A={a,c,e,g} and B={a,b,e,h} and…

Q: Let S be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets A and B be…

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Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets AA and BB…

A: Given a universal set : S={1,2,3,...,28,29,30} Given subsets A and B of S :…

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: Let S = {1,2,3,...,18,19,20} be the universal set. Let sets A and B be subsets of S, where: Set…

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Q: Let S be the universal set, where: S= {1,2,3,.. 18, 19, 20} Let sets A and B be subsets of S, where:…

A: Definition used -    Union of sets-     A union of two sets is a set in which all elements of both…

Q: Let U be the universal set U = {4,5,6,7,8,9,10} Create two sets A and B such that A is a proper…

A: The universal set is U=4,5,6,7,8,9,10. Recall the fact that a proper subset A is a proper subset of…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets…

A: To find AU(B intersection C) (ii) (AUB) intersection (AUC)

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given, Universal set S=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 Two subsets A and B are…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., I, ]}. Let A = {a, d, g, h), B =…

A: Introduction: The set (B ∪ C) contains all the elements that are either in set B, or C, or in both,…

Q: Let R, S, T be subsets of the universal set U such that n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

A: We will draw a Venn diagram using the given information: n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

Q: Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: Let A = {a, b, c}, B = {b,2, c, 1} and S, the universal set, be {a, b, c, 1, 2, 3, 7}. Compute %3D…

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Q: Which sets are proper subsets of set A? A = {1, 3, 5, 7, 9} Select all that apply. O {1, 2, 3, 4}…

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Q: Let S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets A and B be…

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Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let sets A, B, and C…

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Q: Determine the number of distinct proper subsets for the given set {c, a, v, e}.

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Q: Let S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} be the universal set. Let sets A and B be subsets…

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Q: Let the Universal set be the letters a through j: U={a,b,...,i,j}U={a,b,...,i,j} . Let A=A=  {a, b,…

A: List the common elements of A and B: A∩B={a,b}

Q: 1. Let the universal set be the set S = {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

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Q: For the universal set U {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y,…

A: Solution:     U – { a, b, c, d, e, f, g, h, i ,j ,k ,l ,m ,n ,o ,p ,q ,r ,s ,t ,u ,v ,w ,x , y, z }…

Q: Let S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

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Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given that the universal set S=1, 2, 3,..., 18, 19, 20. Consider the subsets A=1, 2, 9, 11, 13, 14,…

Q: Let U = {a, b, c, d, e, f, g} be the universal set. Let S = {a, b, c, d} and T = {a, d, g}. List the…

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Q: Let U be the universal set, where: U={a,b,c,d,e,f,g,h,i} Let sets A, B, and C be subsets of U,…

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Q: Let U be the universal set, where: U {a, b, c, d, e, ƒ, g, h, i, j} || Let sets A, B, and C be…

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Q: S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be…

A: According to the question the set S, A and B is defined as:

Q: Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S,…

A: Universal Set S = {1, 2, 3,…, 18,19,20} Set A = {2, 6, 10, 12, 15, 17, 18, 19} Set B = {5, 7, 8, 14}…

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

A: From the sets

Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

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Q: Let SS be the universal set, where: S={1,2,3,...,23,24,25}S={1,2,3,...,23,24,25} Let sets AA and BB…

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Q: Let UU be the universal set, where: U={a,b,c,d,e,f,g,h,i}U={a,b,c,d,e,f,g,h,i} Let sets AA, BB, and…

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Q: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

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Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}  Let sets AA…

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Q: Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} Let sets A and B be subsets of U,…

A: Given info: U = {1, 2, 3, 4, 5, 6, 7, 8, 9}A = {1, 3, 4, 8, 9}B = {2, 4, 7, 8}

Q: Let UU be the universal set, where: U={1,2,3,4,5,6,7,8,9}U={1,2,3,4,5,6,7,8,9}  Let sets AA and BB…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.