Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are taking both French and German.   How many students in the mathematics class are taking neither French nor​ German?   nothing students

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A:

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

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A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

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A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

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…

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Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: A woman has 11 close friends. (i) In how many ways can she invite 6 of them to dinner? (ii)  In how…

A: Total number of friends are 11.i Number of ways in which she can invite 6 of them.C611=11!6! 5!…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

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A: It is given that there are 36 teachers in a college. We have to appoint one principal, one…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

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Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A:

Q: In an examination paper, there are 7 questions in part A out of which any 4 are Example 48. to be…

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Q: Assume that there are 105 students: 45 of which like rock, 52 of which like country, and 23 of which…

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Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

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Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

A:

Q: 20 people have volunteered for a 5-person neighborhood advocacy committee. 13 of them are homeowners…

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Q: A committee of 5 is to be made from 3 students and 6 teachers. In how many ways can this be done a.…

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Q: Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: 1) According to the combination rule, if r distinct items are to be chosen from n items without…

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

Q: a. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? b.…

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Q: A  commitee of 2 teachers is to be formed in a school such that there is one male and one female…

A: We can pick a female teacher from 12 female teachers in 12 ways.  We can pick a male teacher from 15…

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: In a linguistics program there are 61 students.  Of these students, 30 of the students speak…

A: Let us say that,

Q: There are 2504 computer science students at a school. Of these, 1876 have taken a course in Java,…

A: We suppose that the set of students who have taken a course in Java be J, the set of students who…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

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

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Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

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Q: A girl is allowed to pick 5 out of 18 children’s books to take home from the library. In how many…

A: Solution: 1. From the given information, a group of 5 books are to be chosen from 18 children’s…

Q: a)How many four letter words including non-sense word can be formed from the word "BEAUTIFUL" if…

A: Given that  Word -   " BEAUTIFUL' Total alphabets in word = 9 Vowels = E , A , U , I , U = 5 vowels…

Q: Of the eighth graders at the Paxton​ School, 10 played​ basketball, 9 played​ volleyball, 10 played​…

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Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

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Q: Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36 take…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with another…

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: There are 387 students who are enrolled in an introductory geology course. If there are four boys to…

A: Given: -There are 387 students who are enrolled in an introductory geology course. if there are four…

Q: A brand of automobile comes in five different styles, with four types of engines, with two types of…

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

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A: