If A = {a, e, i, o, u} and B = {a, b, c, d, e}, what is A ∪ B?

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

A: Since you have asked multiple subparts, we will solve the first three subpart questions for you. If…

Q: 1. The Rotary Club and the Jaycess Club had a joint Christmas party. 120 members of the Rotary Club…

A: Venn diagram are used to understand the set of relationship between the two or more sets. It also…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…

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

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Solution: From the given information, there are 8 roads connecting town A to town B and 4 roads…

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: In how many ways can a committee of five men and four women be formed from a group of six men and…

A: The number of ways can a committee of five men is 6C5.The number of ways can a committee of four…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second,…

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

Q: (a) there shall be 2 members from each class on the committee? (b) there shall be no grade 8…

A: A committee of 6 is to be formed from a group of 6, 8 and 10 grade 8, grade 9, and grade 10…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: What is the size of the power set of S={1,2,3,4}?

A:

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

Q: 18. A Committee Of Ś people is to be formec fro a sele ctHon pool OF 12 peOpe. IF Carmen must be…

A: As per our guidelines, we are supposed to answer the only first question please repost another…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: Assuming the roles of president and secretary cannot be filled by the same person, how many ways are…

A: When Tyler is chosen as president, we have 3 choices for the post of secretary. So there are 3 such…

Q: Given the following definitions  U={1,2,3,4,5,,6,7} A= { 1,2,,4,5} B={1,3,5,7} how many elements are…

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

Q: 2.13 was not the asnwer.

A: Given: Sample variances12=8.5Sample variances22=4

Q: How many ways can a three-person executive committee (president, vice-president, secretary) be…

A: The number of member on the board of director  =14

Q: O PPOve Ok disppove : FOR any any cets A and B,

A:

Q: 2. There are 4 different mathematics books and 5 different science books. In how many was can the…

A: Given : There are 4 different mathematics books and 5 different science books. In how many was can…

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

A:

Q: Five persons, A,B,C,D, and E, are going to speak at a meeting. a.) In how many orders can they take…

A: Given data: Total persons = 5 ( A , B , C, D, E ) To find; a.) In how many orders can they take…

Q: 3) 46 is 31% of what?

A: To find 31% of 46

Q: In a survey of 153 pet owners, 74 said they own a dog, and 36 said they own a cat. 5 said they own…

A:

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A: A five-member committee is to be formed from 6 class A, 5 class B, and 4 clas C students. Here total…

Q: In the United States, each national federation has the authority to determine the means for how it…

A: Solution

Q: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible…

A: Given details: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row. To check then there are 20…

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said they own…

A: Given ,  In a survey of 94 pet owners, 33 said they own a dog, and 71 said they own a cat. 31 said…

Q: (N, +, .) (R, +, .) (Z, +, .) (Z7, +, .)

A: As per the company rule, we are supposed to solve the first three subparts of a multi-part problems,…

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

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Q: 4. If mZROS = 57° and ZROT = 165° , what is MZPOT. R. 57°

A:

Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: In ATEA and ACUP, E = , Which additional information would prove ATEA ACUP? PC O EA = UP OLEAT ZUPC…

A: Given, Triangle TEA and triangle CUP with TE/CU = AT/PC We have to find the additional information…

Q: Doesthe Jim 3 *3 exiut? If Yes, what is it ?

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Q: all mteger greater ulan mat DOun and prilie, ulen

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Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

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Q: 1- Show that : [ (A + B), (C + D )]= [A , C] + [ A , D ]+[B,C] +[B,D]

A:

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

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”.