In a high school, 50 students are surveyed and asked about the interest of the student. 23 students interested in English subject, 14 interested in Mathematics, and 11 in Urdu, 6 is in English and mathematics, 4 is in English and Urdu , and 5 is in English and Urdu. 15 students not interested in any subject.

Q: Among 360 college students, a survey is conducted that 202 take math classes, 170 take philosophy…

A:

Q: 6. In a veterinary waiting room, there were a total of 12 individuals, 8 of whom brought dogs, 5…

A: Given: Total individuals = 12 Number of individuals that brought dogs = 8 Number of individuals that…

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A: The possible way that 8 man arrenge in a row will be P(8, 8) No to women stand next to each other.…

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A: Here Total = 200 29 do not like any subject. So now total = 171 It can be solved by venn diagram…

Q: A team of 145 tourists planned to visit East Africa. Among them, 71 visited Kenya, 63 visited…

A: Consider the provided question, Let K represent visited Kenya U represent visited Uganda And, T…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A:

Q: here are 25 students asked by their literature instructor regarding with the type of literary works…

A: nN∪S∪P=nN+nS+nP-nN∩S-nS∩P-nN∩P+nN∩S∩P where N is the n umber of students who prefer novels  S is the…

Q: students and found that 40% of them had cats, 12% had both cats and dogs, and 45% didn't have…

A: Given: No of students-300 Students who had cat- 40% Students who had both cat and dogs- 12% Students…

Q: 10. Of the 200 candidates who were interviewed for a position at a call center, 100 had a…

A: See the attachment

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Given information : Total number of people = 60 Number of people who read Manila Bulletin = 25…

Q: A troupe of  12  dancers is going to line up on stage. Of these dancers,  6  are wearing black and…

A: By using the knowledge of permutations we can solve the problem.

Q: In a survey of 283 college students, it is found that 66 like brussels sprouts, 90 like broccoli, 58…

A: Solution

Q: People on a street were asked, what pet(s) do they have at home. Some own a cat, some own a dog,…

A: Given Information, 150 had cats (no info if they have other animal also) 130 – dogs (no info if…

Q: A researcher asked 137 students regarding the type of shows that they watched. Among the total, 28…

A: Union of events: The union of two events A and B, denoted by (A∪B), consists all the outcomes that…

Q: The results of the survey of 200 students show that 99 people like Math, 78 people like Science, and…

A:

Q: 1. Out of 120 people, it was found that 50 like pasta, 42 like pizza, 39 like burger , 21 like pasta…

A:

Q: In a survey of 210 professional athletes, it was found that 95 of them owned a convertible, 98 of…

A: Given, Total number of Athelets surveyed = 210  Athelets owned convertible = 95 Athelets owned TV =…

Q: A survey of 101 college students found that 18 take only algebra, 21 take only statistics, 25 take…

A: The Venn diagram for the given information is,

Q: Among a group of students, 50 played cricket, 50 played hockey and 40 played volley ball. 15 played…

A: Given information Number of students who play cricket is  nC=50 Number of students who play hockey…

Q: 1- Among a group of students , 50 played Cric ket, 50 played hockey and 40 played vo lley ball. 15…

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Q: 59. Out of 5 mathematicians and 7 statisticians, a committee consisting of 2 mathematicians and 3…

A:

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A:

Q: A witness in a trial testified that he searched 21 cars, of which 12 were convertibles, 16 had…

A: Let us denote that events: A = A randomly selected car was convertible B = A randomly selected car…

Q: A basketball squad consists of twelve players. (a) Disregarding positions, in how many ways can a…

A: To find the number of ways of different team possible.

Q: 4. You survey college-bound seniors and find that 85% plan to live on campus, 35% plan to have a car…

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: The number of ways to arrange n objects in a queue is obtained using the formula n!. The number of…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A:

Q: survey of 50 musicians showed that: 30 play the piano, 20 play the guitar, 20 play the violin, 12…

A:

Q: A class survey found that 28 students watched television on Monday, 25 on Tuesday, and 24 on…

A: Given The number of a student who was Stevie according to the day in the three day of week. We need…

Q: A witness in a trial testified that he searched 21 cars, of which 12 were convertibles, 16 had…

A: A witness in a trial testified that he searched 21 cars, of which 12 were convertibles, 16 had…

Q: Draw a Diagram At the conclusion of a baseball game whose teams included 10 players, each player on…

A: The number of fives given to the losing team will be =10×10=100 The number of fives given by the…

Q: Of the 500 students in one dorm, 300 have engaged in binge drinking, 150 have engaged in social…

A: Independent Events: The events A and B are said to be independent, if the result of one of the…

Q: In one of the Colleges, 100 students were asked about their favorite subjects, the result is as…

A: We need to solve Venn diagram problem.

Q: A survey of 275 adults found that during the last year, 70 traveled by plane but not by train, 40…

A: Introduction:Denote the following events for the different modes of travel:P: Plane,T: Train,B:…

Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Given:  The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts;…

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

Q: In a survey of 120 people, it was found 65 read Newsweek magazine, 45 read Time magazine and 42 read…

A: Let us denote Newsweek magazine by N; Time magazine by T and Fortune magazine by F. There are 20…

Q: Of 1,000 people consulted, 811 liked chocolates, 752 liked toffees and 418 liked sweets, 570 liked…

A:

Q: What is P - Q and Q - P when we let P = {11, 13, 15, 17, 19} and Q = {11, 12, 13,}? Show the Venn…

A: Consider the provided information, P=11,13,15,17,19  and Q=11,12,13 Find the P-Q and Q-P and sketch…

Q: How many ways are there for 8 men and 5 women to stand in a line, so that no two women stand next to…

A: 8 men and 5 women are required to be arranged in a line in such a way that no women should come next…

Q: 4) In a survey of Senior High School students, 64 had like academic track, 45 had like sports track,…

A: The given situations can be represented using a Venn diagram so that it will give a clear picture of…

Q: 100 people were surveyed about vacation places. 50 people said they liked the beach, 40 people said…

A: Total number of people surveyed = 100 Number of people liked the beach = 50 Number of people liked…

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A:

Q: In a survey of 60 people it was found that 25 read Nation news paper, 26 read Kenya Times and 26…

A:

Q: People on a street were asked, what pet(s) do they have at home. Some own a cat, some own a dog,…

A: a) Plot the Venn diagram as follows.

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…

Q: In a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: The given data are: In a survey of 120 people, 65 read Newsweek magazine, 20 read both Newsweek and…

Q: Suppose that 40 Malaysian Chinese are surveyed and they speak at least one of the three dialects,…

A: This question is about set theory

Q: n a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: Given that:                     Total number of people = 120Number of people reading Newsweek…