H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding dogs. a. How many subsets does set B above have? b. For the set B above, list all of the subsets of B. c. How many proper subsets does set B have?

Q: Let ? = {1, 2} and ? = {1, 2, 3}. List all the elements in the set (? × ?) ∩ (? × ?)

A: A = {1,2} and, B = {1,2,3} So, A×B = {(1,1,), (1,2), (1,3), (2,1), (2,2), (2,3)} &, B×A =…

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

Q: If a set A has 63 proper subsets, what is |Al? 6. 7 8. 9

A:

Q: Let A and B be two sets with a finite number of elements. Show that the number of elements in An B…

A: Given A and B are two finite sets. To show that the number of elements in A∩B plus the number of…

Q: Let the Universal Set, S, have 176 elements. A and B are subsets of S. Set A contains 56 elements…

A:

Q: How many proper subsets does the set T={h,f,k} have

A: A set is given by, T = h, f, k. The objective is to find the number of proper subsets the T have.

Q: A standard deck of cards contains 4 kings, one each from each of the 4 suits. If this relationship…

A: Intersecting Sets because each set would have one member who is also a member of the other set.

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of…

A: Venn diagram

Q: How many proper subsets does S = {A, B, C, D} have?

A: We can find the number of proper subsets as below using the required formula.

Q: If a universal set contains 250 elements,

A:

Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

A:

Q: The set of elements that are members of set A or set B or of both sets is called the. of sets A and…

A: Note that, a set is a collection of objects. All the object that are clearly determined in a set are…

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Provided information is , n(S)=146 n(A)=84 n(B)=25 n(A or B)=n(A U B)=103 Definition of B∩ Ac: It…

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

Q: 5. Let the universal set be E = {whole numbers less than 20), and let A = {squares less than 20) B =…

A:

Q: Draw two Venn diagrams to determine whether the following expression is equal for all sets A and B.…

A:

Q: Consider the following sets, with U=N: that is, the universal set is the set of natural numbers and…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let A be the set of students in your math class, and B is the set of students at Indiana State…

A:

Q: Use the following information to answer question 6. 16 19 The number of elements in the unversal set…

A:

Q: Given hasse dia goram is The list of all ordered paing in the tantiel edering Ps odering is,…

A:

Q: Consider the Venn Diagram below.   How many elements are in Set A      ?  How many elements are in…

A: According to given, a). elements in set A= 8 b). elements in set B= 9 c). elements in set A and…

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: If Set A = {M,I,C,H,A,E,L} and Set B = {J,O,R,D,A,N}, what is A ⋃ B?

A:

Q: Refer to the Venn diagram below. How many elements are in the set AUB? 33 28 10/2 11:5 40 10/ 11:5…

A:

Q: in a venn diagram with two overlapping sets there are

A: Let define the two events A and B.

Q: Which of the following is NOT a finite set? * O A set of vowels. O {x:xE N, 1<x < 5} O (x:xe Z} O A…

A:

Q: A B

A:

Q: Use the Venn diagram below to determine if (AnC) n B= (An B)nC and, if it is, what regions does the…

A: The given Venn diagram is: From the Venn diagram, it is clear that, The elements in set A are as…

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: Use the Venn diagram pictured with A representing the people in an arts class and B representing the…

A: Solve the given

Q: Let the universal set be the 26 letters in the English alphabet, and let A = {a, b, c, d}, B={c, d,…

A:

Q: Given set A with 17 elements and set B with 7 elements. a. What is the maximum number of elements in…

A: Given set A with 17 elements and set B with 7 elements. If all the elements of set A and set B are…

Q: Suppose the universe is the set of 26 lower case letters in the English alphabet. Let A = {x,y,z}…

A: Given that A={x, y, z} and B={u, v, x, y}So, A∪B={u, v, x, y, z}So, A∪B= all the alphabets except…

Q: list all the possible sets of Cities thot Charlie Con

A:

Q: Given the Universal Set as numbers from 0 – 10, Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A:

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

A:

Q: Refer to the Venn diagram below. How many elements are in the set AUB? nAUB) -

A: Given,

Q: Given a set has m members, where m=15, how many proper subsets are there?

A:

Q: The sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total…

A: Given that set A and set B have 6 and 9 respectively. Now that A is a proper subset of B which means…

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

Q: O AC Biff P(A) C P(B).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Draw two Venn diagrams to determine whether the following expression is equal for all sets A and B.…

A: We will draw Venn diagram to check if the sets equal

Q: Given the sets U= {x / x is a letter in the word "entertainment"} A= {a ,e ,i} B= {x/x is a…

A:

Q: Choose any that is a subset of the set S=(10, Ø,{Ø}}} O(Ø) a {(Ø), 10)

A:

Q: Does the set span R3?

A: s=310,0-11,12-1Let v1,v2,v3 in R3 , if span(v1,v2,v3)=R3 then v1,v2,v3 are linearly independent.Rank…

Q: 10. If a set has 255 proper subsets, how many elements are there? Why?

A:

Q: Consider the following sets, with U = N; that is, the universal set is the set of natural numbers…

A:

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”.