Suppose the universe is the set of 26 lower case letters in the English alphabet. Let A = {x,y,z} and B= {u,v,x,y} Which of the following is a subset of AUB? O {x,y} O {a,b,c} O {a,x} None of the other four answers is correct.

Q: Let A={ e, t, a, o, i }. Then the number of subsets of A that contain three 4 letters of A. O 10 15…

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Q: S Tennis Soccer 11 5 9 30

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Q: a. Let U = {z |z e Z}, A = {z |z is an integer between 30 and 34}, and B = { 29,30,31,32,33,34,35,36…

A: Given U=z ,z∈ℤA=z , z is an integer between 30 and 34B=29,30,31,32,33,34,35,36

Q: Which card(s) should you turn around to test the following statement: "if there is a vowel on one…

A: here given, assume that a deck of cards , where each card has a letter on one side , and number on…

Q: Let S=(1,2,3,4,5,6,7,8). How many permutations are there if: a. The odd and even numbers trade…

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

Q: Let X = {s, t, u, 15, 16, 17), Y={t, v, w, 15, 17, 19), and Z= {t, v, 16, 17, 19). List the members…

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many subsets of A with four elements have at least three even…

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Q: f A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is A∩

A: INTRODUCTION: The group of members that both of the supplied sets have in common is known as an…

Q: Let A = {3, 5, 7, 9, 11}B = {9, 11, 13} C = {3, 5, 9}D = {13,11} Select all of the following that is…

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Q: If U = {a, b, c, d, e, f}, A = {a, b}, and B = {b, c, d}, find the following. (Enter your answers as…

A: To find following sets

Q: Let D = {16,19,21), E = {16,18,19,20) and F = {15,17,18,19,21). List the elements in the set (DUE)…

A: GivenD={16,19,21}E={16,18,19,20}F={15,17,18,19,21}

Q: A large number of three letter words in English follow the pattern consonant- vowel -consonant in…

A: 2 consonants out of 17 can be selected in P(17,2)=272 ways.

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

Q: A technology manufacturing company has recently switched to the production of isolinear processors.…

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

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Q: The eight blood types are shown in the Venn diagram to the right. In blood transfusions, the set of…

A: Eight blood type are shown in the given Venn diagram . To find the blood type of the universal…

Q: Refer to the Venn diagram below. How many elements are in the set A'? n(A)= A 28 9 20 B 40

A: The given Venn diagram, We have to find the number of elements in the set A'.

Q: H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding…

A: Given that,H={x/x is a herding dog} B = {collie, sheltie, Border Collie}Note: All of art B are…

Q: 5. Five students, Adel, Betty, Carol, Doris, and Eileen, answered five questions on an exam. The…

A: If no two students got the same number of answers correct and there are 5 students with different…

Q: Let A = {5, 6, 7, 8, 9}, B = {7, 8, 9, 10, 11}, and C = {6,9,11}. a. Find An B. b. Find A U B. c.…

A: I have given the answer in the next step. Hope you understand that

Q: A job applicant must answer 10 questions during job interview, choosing at least 4 from each of Sets…

A: Given, A job applicant must answer 10 questions during job interview. Choosing at least 4 from each…

Q: Which of these sets are equal? O An (B U C) = (A n B) U (A n C) An (B U C) = (A n B) U c O An (B U…

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Q: Consider the following sets: S = {1, 2, 3, 4, 5}, T = {2,3,4,5}, U = {1,3,5). Which of the…

A: Given sets areWe know thatA set A is a subset of set B i.e.  if all elements of the set A are…

Q: The cardinality of the power set of A UB, where A = {2, 3, 5, 7} and B = {2, 5, 8, 9} is Select one:…

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Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: Suppose there are 30 characters on a line which included A, B and C. If there are 9A, 14B, and 7C.…

A: We have to find no. Of permutations.

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

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Q: In how many distinguishable ways can the letters of the word DECREED be arranged?

A: Given letter is DECREEDLetter "E" has repeated 3 timesLetter "D" has repeated 2 timesTotal no. of…

Q: Consider the following three sets of natural numbers less than or equal to 20: A={4, 5, 8, 11, 12,…

A: Given : A={4, 5, 8, 11, 12, 13, 17, 18, 19, 20}  B={1, 2, 3, 5, 10, 11, 16, 20}  C={1, 3, 4, 7, 8,…

Q: Let U={y|y∈ℤ}, A={y|y is an integer greater than 30}, and B={35,36,37,38,39,40}. Select the Venn…

A: We have to draw the ven diagram which represents U, A, and B. Where U={y|y∈ℤ}, A={y|y is an integer…

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”.