Let S be the universal set, where: S = {1, 2, 3, .., 18, 19, 20} Let sets A and B be subsets of S, where: %3D Set A = {4, 5, 9, 10, 11, 12, 14, 17, 18} Set B = {3, 4, 5, 6, 7, 11, 14, 16, 17, 19, 20} Find the following: The number of elements in the set (AN B): n(AN B°) = %3D The number of elements in the set (Bn A°): n(Bn A°) is

Q: Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i}, C = {f, h} and U =…

A: Hey, since there are multiple questions posted, we will answer first question (1) with first three…

Q: Consider the set A = {3,4,6}. What is the power set of A, %D P(A)? P(A) = {Ø, {3}, {4}, {6}, {3,4,…

A:

Q: Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set. A ∪ B

A:

Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

Q: Find the total number of proper subsets of  A?

A: Given Data: Set: A=j, r, L, k, g   The set A is consists of five elements. (a)   The total number of…

Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: Consider the sample space of S={A, B, C, F, G, M, T, Z}. Subset A = {A, G, M}. Subset B={A, B, F,…

A: The sample space of the data is, S={A, B, C, F, G, M, T, Z}. The subset A of the set S is A = {A, G,…

Q: Need help with part G,H,I

A:

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

A:

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

A:

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A:

Q: List all subsets of the given set. {yes, no, undecided}{yes}, {no}, {undecided}, {yes, no}, {yes,…

A: {yes, no, undecided} has three elements in it.  So there will be 23=8 subsets of it.  Only second…

Q: Given U = {a, e, i, o, u}. a) How many subsets does U have? b) List all subsets of the set {Red,…

A: a) U have 2^n subsets where n is the number of elements in the set that is 2^5=32

Q: Let Ω = set of all positive integers, A = {5,4,3,2,1), B = {2,5,8,11,14), C = {6,7,8,9,10) and D =…

A: The symbol U is known as the Union. The union of two sets is known as the set of elements that…

Q: Consider the following sets U= {1,2,3,4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is (B' ∪ A' )'…

A: The given problem is to find the set relation from given sets.

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

A:

Q: The customer satisfaction ratings shown below were received from four resto bars named A, B, C, and…

A: Considering a set of ratings were given for the resto bar, the average rating for each option (i.e.,…

Q: How many elements does the following set have? {{{Ø}}, ØU{Ø}, {Ø}, {{Ø}}} 1 2

A: given set {{{∅}}, ∅∪{∅}, {∅}, {{∅}}}

Q: Write down all the subsets of the following sets:(i) {a} (ii) {a, b} (iii) {1, 2, 3}

A:

Q: Draw a Venn diagram showing three sets, A, B, and C. Shade the region of the Venn diagram…

A: Given three sets A, B, and C. The main objective is to shade the region of the Venn diagram…

Q: List the elements of the given set. the sets (A n B) U C and An (B U C), where A = {1, 2, 3, 4, 5,…

A: Given, A = {1,2,3,4,5,6} B = {3,4,5,6} C = {1,2,6,7,8} Now,  we have to find A∩B∪C   and  A∩B∪C

Q: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {1, 2, 3, 4, 5} n {3, 4,…

A: We have to find correct answer..

Q: Given the sets U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, A = {1, 2, 6, 7, 8, 10} B = {2, 3, 4,…

A: Given data,U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}A={1,2,6,7,8,10}B={2,3,4,8,9,12,15}(Ac ∪ B)c =?

Q: Determine the power set of the set A={q,p,x}

A: if a set contains n elements, then the total number of subsets are 2n

Q: Let U={1, 2, 3, 4, 5, 6, 7). A = {2, 3, 5, 7), and B={2,4, 7}. Find the set A' n B".

A: Given,         ∪=1,2,3,4,5,6,7          A=2,3,5,7          B=2,4,7

Q: Consider the set, A = { 1, 2, 3} what is P(A)? {{1},{2},{3},{1, 2 }, { 1, 3}, { 2, 3},{1, 2, A 3}} В…

A: Given the set A= {1,2,3} Find the power set of A (P(A)) First list the all subset of A

Q: 1) Each student is classified as a member of one of the following classes: Freshman, Sophomore,…

A: the pigeonhole principle states that if {\displaystyle n}n items are put into m containers, with…

Q: 1. Which of the following sets are equal? А 3D (а, b, с, d} C = {d, b, a, c} В 3 [d, е, а, с) D =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: partition. • S = {1,2, 3, 4, 5, 6, 7, 8, 9} • Submit your answer after,

A: In this question we will use basic of algebra i.e concept of sets. We will simply use the definition…

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Given, U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A: Given A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8}.

Q: Let U = {q, r, s, t, u, v, W, x, y, z}, A = {q, s, u, w, y}, B= {q, s, y, z}, and C= {v, w, x, y,…

A: To determine the elements of the set shown below.

Q: For the sets U,A,and B, construct a Venn diagram and place the elements in the proper regions.  U=…

A: Solution-: We have, We construct a Venn diagram and place the elements in the proper regions.

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

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

A:

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A: Part (a) Given data is Where set of successful authors represent by 'C', set of unsuccessful…

Q: Let U = {a, b, c, d, e, f, g, h, i}. Subsets K, L, M and N are as follows: K = {a, e, i} L = {b, d,…

A: The universal set is given by, U = {a,b,c,d,e,f,g,h,i} If X is a set from the universal set U. Then,…

Q: The results of a survey taken by a bank in a​ medium-sized town are shown in the table. The survey…

A: Intersection of column B and row Y is 2.

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A: Given:   New Authors (N) Established Authors (E) Total Successful (C) 6 24 30 Unsuccessful…

Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

Q: find the subset of (E, B,T,*)

A:

Q: Let U= {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, W, x, y,…

A: Given Information -  U = {q,r,s,t,u,v,w,x,y,z} A = {q,s,u,w,y} B = {q,s,y,z} C = {v,w,x,y,z} We have…

Q: 2. Shade the portion using a Venn Diagram that represents the set. (A' U B)'n C

A:

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

A:

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A: Here we have C : the set of successful authors                           N : the set of new authors…

Q: You need to hire some new employees to staff your startup venture. You know that potential employees…

A: The expected value of hiring one employee is obtained as follows: -…

Q: Given the following sets, determine the set An BC. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,…

A: Given sets  U ={ 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A= { 1,2,6,7,8,10} B= {2,3,4,8,9,12,15}

Q: Let S (4,5,6,7,8,9,10} be a sample space such that the following are true. Use the information to…

A: Given S={4,5,6,7,8,9,10} E={6,7} F={9,10} G={5,7,10}

Q: The following table shows the results of a survey of authors by a fictitious publishing company.…

A: Given, table of survey result

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”.