One hundred sixty people were surveyed and asked if they believed in UFOs, ghosts, and Bigfoot.               42 believed in UFOs                           45 believed in ghosts             21 believed in Bigfoot                        11 believed in UFOs and ghosts             6 believed in ghosts and Bigfoot          4 believed in UFOs and Bigfoot             2 believed in all three                            How many people surveyed believed in at least one of these things?

Q: A merchant surveyed 330 people to determine the way they learned about an upcoming sale. The survey…

A: Use the following formulae, to obtain the solution.…

Q: How many books must you choose from among a collection of 7 mathematics books. 18 books of short…

A: Given information  No of mathematics book = 7 No of short stories books = 18 No of chemistry books =…

Q: Mr. and Mrs. Adams recently attended a party at which there were three other couples. Various…

A: Given that, Mr. and Mrs. Adams recently attended a party at which there were three other couples.…

Q: 100 athletes were asked about which sports they played in high school. 50 said that they played…

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Q: A small social network contains four people who are network friends with six other people in the…

A: We have to find (a) How many people are network friends with three other people in the network.(b)…

Q: A class held a quiz bee for their different classes and students were awarded medals in different…

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Q: There are 39 students in the University Travel Club. The following information and Venn diagram show…

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Q: One hundred sixty people were survyed and asked if they believed in UFOS, ghosts and big foot.  42…

A: Formula for union of A, B and C: If A, B and C are three events then probaility P(A∪B∪C) is given by…

Q: 180 students were surveyed weather they took Physics, Biology or Chemistry. P - Physics B - Biology…

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Q: 200 people were asked which of these sports they have attended. The sports inquired about were: UAAP…

A: Given that 200 people were asked which of these sports they have attended. The sports inquired about…

Q: A man has 68 socks his drawer: 35 identical blue, 20 identical black and 13 identical red. The…

A: The total number of socks in the drawer is 68  which contains 35 identical blue , 20 identical black…

Q: A small social network contains four people who are network friends with six other people in the…

A: (a) To find Number of people are network friends with three other people in the network. (b)To find…

Q: (a) by any door, (b)  by different door?

A: Here use combination  for no of ways person can leave and enter from desk

Q: How many different 5-letter radio station call letters can be made a. d the first letter must be C,…

A: a. Total possible ways to fill the first letter=3(C,W or Q) Since first position is already filled…

Q: In a survey of 3500 people, 1600 had a car, 1350 had a pet, 1700 had a television set, 700 had a TV…

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Q: In one class 18  students play basketball, 14 students play soccer and 10 students play volleyball.…

A: You can solve this question using the Venn diagram.

Q: In a certain class, 20 students do not like Spider-Man nor Dark Knight. In the same class, 74…

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Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their…

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Q: 100 people went to the amusement park.  51 went on roller-coasters, 29 went to the haunted house and…

A: Introduction: Suppose A, B, and C are three events, and n (A), n (B), and n (C) are the respective…

Q: A survey asks "What beverage do you drink in the morning", and offers choices: - Tea only - Coffee…

A:

Q: 24 Out of 50 students, 32 like programming, 23 like mathematics, and 7 like both programming and…

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Q: There are 27 students in Mrs.​ Pietz's fifth grade class at an international school. All of the…

A: (a) Determine the number of students speak both English and Japanese.   The number of students speak…

Q: 100 college students were surveyed, and it was found out that all of them have visited at least one…

A: The answer is attached below,

Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

A: Permutation: When the arrangement of the objects or numbers in an order matters then, this is called…

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: We have to find no. Of ways to arrange.

Q: In a group of 37 children, 19 had a dog, 17 had a cat, and 14 had both a dog and a cat. How many…

A:

Q: A Factory building has six entrance doors. In how many ways can a person enter and leave a.)  By any…

A: A factory building has six entrance doors. a) By any door In this case person enter in 6 ways and…

Q: A group of 60 students were asked whether they watch TV Patrol or 24 Oras or both programs…

A:

Q: 1. When a group of 25 students are surveyed: O 6 like ice cream O 12 like hot dogs O 15 like…

A: Solution : n= 25 Let, A : students who likes ice cream B : Students who like hot dog C : student who…

Q: There are 4 different Mathematics books, 7 different English books and 5 different Science books. In…

A: Given,no.of mathematics books=4no.of English books=7no.of science books=5

Q: In a group of 25 students, 15 are enrolled in Lab, 8 are enrolled in EconTwo, and 5 are neither…

A:

Q: 1. At a certain university 523 of the seniors are history majors or math majors (or both). There are…

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

Q: Professor Bartlett teaches a class of10 students. She has a visually challenged​ student, Louise,…

A:

Q: How many different 5​-letter radio station call letters can be made a.  if the first letter must be…

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

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: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: 4. In a certain class, 20 students do not like Spider-Man nor Dark Knight. In the same class, 74…

A:

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: An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to…

A: c) We can select 11 questions from 15 questions in 15C11 = 1365 ways   Then we find the total number…

Q: How many dealer hands are possible if it matters which card is face down and which is face up? There…

A: Given: Standard deck = 52 If it matters which card is face down and which is face up, the order of…

Q: Sarah has ten colored pencils that are all unique. She wants to pick three colored pencils from her…

A: Given that  Sarah has ten colored pencils that are all unique. She wants to pick three colored…

Q: In a survey of college students, it was found that 72 owned a tablet 99 owned a laptop 87 owned a…

A: Let, T=student owned a tabletL=student owned  a laptopG=student owned a gaming…

Q: 3. A survey of 1,035 tourists visiting Orlando was taken. Of those surveyed: 255 tourists had…

A: 3. Obtain the number of tourists only visited the Magic kingdom.   The number of tourists only…

Q: 2.) 100 students were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took…

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Q: A survey of 1,103 tourists visiting Orlando was taken. Of those surveyed: • 280 tourists had visited…

A: Introduction :-  We have to find out how many of 1103 tourists visited the magic Kingdom.

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

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Q: A club asked its members, and the following information was obtained: 12 members had rabbits, 6 had…

A: given, a member had  12 rabbits , 6 had goats, 4 had both rabbits and goats and 20 had neither…

Q: A survey of 1,196 tourists visiting Orlando was taken. Of those surveyed: • 258 tourists had visited…

A: Let the set of people who visited LEGOLAND, Universal Studios, Magic Kingdom be A, B, and C,…