involving students' sport preferences. Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor swimming. Answer the following questions. If the size of the given set can not be determined, enter "cnbd" (without the quotes). (1) How many students enjoy both sports? (2) How many students enjoy swimming but not tennis?

Q: A bag contains five red marbles, two green ones, one lavender one, two yellows, and four orange…

A: We first find the number of sets of 5 that includes no green marbles. There are total (5+2+1+2+4)=14…

Q: Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and…

A: Given problem Given that   Consider an ordinary deck of 52 playing cards with four suits ( hearts,…

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A: Given that, A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without…

Q: A french restaurant offers a menu consisting of three different appetizers, two different soups,…

A: a.

Q: The thirty-one students in a certain discrete mathematics class all live in one of three dorms on…

A:

Q: A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4…

A: Solution: From the given information, there are 4 types of drinks, 4 types of sandwiches and 2 types…

Q: 8. Which of the following groups are not mutually exclusive? Group of answer choices 20 year old…

A: Mutually exclusive events are events which cannot take place together

Q: Principle of Inclusion Exclusion There are 39 3rd graders in a school, each of whom likes at least…

A: According to the given information, let R, F and M denote the students who like books of Realistic…

Q: 11. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking…

A: Look for worst scenario

Q: Given a group of students G = {Allan, Brenda, Chad, Dorothy, Eric} or   G = {A, B, C, D, E}, list…

A: Group of students is Allan,Brenda,Chad,Dorothy,Eric.

Q: 8. A family has seven children. If we list the possible genders of the children (for example bbggbgb…

A: Ony two gender either a boy or a girl therefore total list possible are  27 = 128

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

A:

Q: Coach Bennet's high school basketball team has 14 players, consisting of six junlors and eight…

A:

Q: A TV director is scheduling a certain sponsor’s commercials for an upcoming broadcast . There are…

A: Given: 6 different commercials , each to be shown once

Q: In how many ways can 3 boys and 3 girls be seated at a round table if a.     without restriction b…

A: As per our guidelines we are supposed to answer only one question per post and 3 sub-parts of any…

Q: A mathematics class consists of 4 girls and 7 boys. In how many ways can a team of 4 represent their…

A: Given that  There are 4 girls and 7 boys. we have to make a team of 4 represent their class. here we…

Q: In how many ways can the coach choose 11 players to play? |A lineup describes the set of players…

A: The soccer team has 20 players. The coach has to choose 11 players.           The number of ways is…

Q: A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by…

A: There is a chair, two hagglers, and six do-nothings in the committee. The number of people in the…

Q: 7. A teacher gives a 10-point test to a class of 10 children. a. Is it possible for 9 of the 10…

A: Solution )a ) suppose 9 of the 10 student score 6 and 1 student score 2 So average = (9 × 6 + 2)/10…

Q: Consider a group of 7 people divided among 5 rooms. 1. Are we guaranteed at least room with more…

A: statement of pigeon hole principle:- let m be the pigeons and n pigeon halls, m>nthere is at…

Q: Eight passengers from the United States aboard an international flight compared their travel…

A: We have to find the pair of the passengers for different countries visited.

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

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

Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A:

Q: A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13…

A: There are total 13 ranks. We can choose the first rank in 13 ways and the second rank in 12 ways.…

Q: Students are building their schedules at a small university. There are 12 departments offering…

A: There are 12 departments offering classes. A students have to build a schedule of 5 courses each…

Q: 1.There are ten volunteers to form a team of four people where everyone on the team has a different…

A: 1) The aim is to choose 4 people from 10 volunteers such that they have different roles. Therefore…

Q: many

A:

Q: Five country music bands and 3 rock bands are signed up to perform at an all-day festival. How many…

A:

Q: - You have a set Y= {a, b, c, d, e}. How many ways can you arrange 2 elements of the set with…

A:

Q: (e) How many possibilities are there for the win, place, and show (first, second, and third)…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: A) There are 100 students in Language school. They study one or several languages. We know: 48 –…

A: a)  Venn Diagram is as : Here E ,F and G  represents the set of number of students who study…

Q: A poker hand consists of 5 cards from a standard deck of 52. Find the number of different poker…

A:

Q: a waiting line situation, arrivals occur, on average, every 10 minutes, and 10 units can be received…

A:

Q: Stock Portfolios As a financial planner, you are asked toselect one stock each from the following…

A: First make the possible combinations.

Q: Many manufacturers have quality control programs that include inspection of incoming materials for…

A:

Q: A committee is interested in where American adults from different age groups get their news from.…

A: A committee is interested in where American adults from different age groups get their news from.…

Q: what is the fuzzy power set ? And give examples

A:

Q: A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by…

A: We can pick 1 chair from 11 people in 11C1=11 ways  When the chair is picked then we can select 2…

Q: Suppose you have five quizzes in a course, and you classify the level of difficulty of each quizas…

A: It is given that there are total of 5 quizzes and each quiz has 3 possible outcomes.

Q: the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a…

A: Given: The total number of items in Salad are, nS=2. The total number of items in Entree are, nE=4.…

Q: Four soups, five entrees, and four desserts are listed on the ''Special'' menu at the Neptune…

A: We have four soups, five entrees and four desserts. We have to make selections consisting of one…

Q: A committee is to consist of a chair, two hagglers, and three do nothing's. The committee is formed…

A:

Q: A committee of three is to be selected from a group of six people. How many different committees are…

A:

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: a) A' - B' is equal to...   b) If A = ∅ then total number of elements in P(A) are ...   c) A set…

A: The set X-Y contains all the elements that are present in X but not in Y. The set X' is the…

Q: A group of college students were asked about their TV watching habits. Of those surveyed, 28…

A: Given 28 students watch The Walking Dead, 19 watch The Blacklist, 24 watch Game of Thrones.…

Q: 5. At a certain clothing store there are 5 choices of color for the shoes, 7 choices of color for…

A: Choices of shoes color =5 Choices of pants color =7 Choices of shirts color =6 In this context, 500…

Q: A class contains 7 Freshmen, 6 Sophomores, 5 Juniors, and 4 Seniors. Suppose a committee of 3 is to…

A: There are total (7+6+5+4)=22 students.  There are 5 juniors. So (22-5)=17 are not juniors.

Q: a)In how many ways can a selection be made if at least one Sony component is to be included?     b)…

A: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

Q: Example 10. In an apartment of 25 houses, it was observed 15 houses posses Matiz car, 12 houses…

A: