In a class of 100 students, each student has to take at least one subject from Mathematics, English or Science. The following information were collected: • 5 students take all the 3 subjects. 10 students take any of the 2 subjects. 50 students take English (may be with other subjects). 20 students take only Science. (a) Draw a Venn diagram to represent the above information. (b) How many students take Science? (c) How many students take only Mathematics?

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A: Total members who are taking only mathematics can be calculated as: = 19-6 = 13 Total members who…

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Q: In a group, 25 people like tea or coffee, of these 15 like tea and 6 like both coffee and tea. How…

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Q: Make a venn Diagram: In our classroom of 39 students, 11 students have a blue pen, 14 students have…

A: Total number of students = 39 No. of Students having only blue pen = 11 No. of Students having only…

Q: In a survey of 285 professional athletes, it was found that 146 of them owned a convertible, 133 of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Suppose there were 400 nurses graduating this year. Assume that 300 were registered nurses (RN), and…

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Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

Q: In a survey of 251 professional athletes, it was found that 125 of them owned a convertible, 99 of…

A: Let us denote C=convertible, T=giant screen TV, S=sporting good storeGiven that:n(C)=125, n(T)=99,…

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: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A: The number of students who played hockey and soccer = 12 The number of students who played  all…

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Q: 3. A cellphone company has 1000 employees, 615 are male, 682 are single, and 345 are union members…

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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,

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Q: How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

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Q: one course only by using Venn diagram.

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Q: Suppose you are in a restaurant and the menu is as follows: 6 beverages, 11 appetizers, 9 main…

A: We have 6B, 11A, 9M, 5D. Now, out of these available options, we need to select exactly one object,…

Q: A group of 191 students, of which 10 are taking French, business, and music; 36 are taking French…

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Q: A survey of 100 college students regarding the ownership of laptops and tablets revealed the…

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A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: In CNU, 55 students enrolled in Science, 45 in Math, 30 in English, 18 in Science and Math,13 in…

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Q: A particular American football play has eleven players: one quarterback, one running back, one…

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Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

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Q: Suppose Texas A&M University-Commerce has five scholarships available for the women's basketball…

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Q: 2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between…

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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: 1. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not…

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Q: In a survey, 105 people were asked if they believed in UFOS, ghosts, and Bigfoot. 12: ghosts and…

A: *concept:- draw Venn Diagram.

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

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Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

Q: c) There are three train tracks from village X to village Y and four train tracks from village Y to…

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Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: In a survey of 252 professional athletes, it was found that 119 of them owned a convertible, 122 of…

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Q: One hundred sixty people were surveyed and asked if they believed in UFOs, ghosts, and Bigfoot.…

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Q: Blood types are classified on the basis of the presence of three antigens, A, B, and Rh. If you were…

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Q: 3. A donut shop has donuts in the following five varieties: glazed, powdered, cinnamon, blueberry,…

A: given: donuts of each variety having 5 varieties. So, total 13*5 = 65 donuts  a). choosing 13 donuts…

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

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

A: