Suppose thirty-two students signed up for classes during an orientation session. If exactly twenty of them signed up for Chemistry and exactly sixteen of them signed up for English, how many of them signed up for both Chemistry and English?

Q: Brenda cuts her grass every 10 days and trims her shrubs every 16 days. If brenda cut her grass and…

A: Use given conditions to find the required result

Q: For this problem, assume that you have a committee of 12 members, and that you must choose a…

A: Given- Assume that you have a committee of 12 members, and that you must choose a secretary, and…

Q: A survey was given to a group of 10,000 students to determine whether they wanted an outdoor…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: Suppose you are to arrange 9 people on a line. If 5 specific people require to be following each…

A: Given,total no.of people=9

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: If I have 3,493 points, right now, and I get 320 points every day, and I want to get 27,650 points,…

A: We have to find number of months to achieve 27650 points.

Q: an eyewitness to a crime said that the license plate of the getaway car began with the letters Y,B,…

A:

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: A group of students were asked whether they like Mathematics, Physics, or both. If 456 like…

A: We want to find total number of students.

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: A manufacturer knows from experience that for every 100 widgets that are produced at her factory, 3…

A: Given Information- Out of every 100 widgets produced 3 will be defective. Using Unitary method We…

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

A: Answer:----.              Date:----6/10/2021 TOPIC:Combinatorics. Here, no restrictions on the…

Q: The average age of a group of six men is 42.If the youngest man leaves , the new average is 46. What…

A:

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U…

A: Solution: There are 2 letters this means that

Q: In an examination, 80 candidates offered Mathematics, 90 candidates offered English and 55…

A:

Q: Four out of every five trucks on the highway are followed by a car, while only one out of every four…

A: If a truck goes by the next vehicle will be a car with probability 4/5 and will be a truck with…

Q: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

A: The owner of a stereo store wants to advertise that he has many different sound systems in stock.…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: A red wine is brought up from the wine cellar, which is

A: Given, A red wine is brought up from the wine cellar, which is cool 10°C, and left to breathe in a…

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly…

A: It is given, The number of students signed up for Chemistry n(C)=22 , The number of students signed…

Q: 1. The population of the College of Business Administration has increased from 1, 260 to 1,440…

A: The population is increased from 1260 to 1440. Previous faculty number is 35.

Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

A:

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly…

A:

Q: The average age of the students in Class A is more than 11 years old. If ten out of the eleven…

A:

Q: A company buys 9 computers, and it plans to connect each pair of computers by a cable (one cable per…

A: Given that there are total 9 computers. They will connect each pair of computers. That means we have…

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: There are nine boys to every seven girls in an introductory class geology course . If there are 368…

A: Simplification

Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: A computer user has downloaded 15 songs using an online file sharing program and wants to create a…

A: Given data: Total songs  = 15  13 =  songs to use in his portable CD player  To find: How many…

Q: pose that twenty-five students signed up for classes during an orientation session. If exactly…

A: GivenL: n = 25 n (C) = 20 n(E) =16

Q: If you have six books, but there is room for only four books on the shelf, in how many ways can you…

A: From the given information, n=6 and r=4.

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at…

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

Q: Can you do this problem?

A: Given:Number of paintings are (n) = 9.Number of paintings selected to hang side by side in a gallery…

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

Q: A company conducted a marketing survey of college students and found that 191 own a bicycle and 74…

A:

Q: In a group of 65 ice cream lovers, 45 like Cherry Garcia, 34 like Chocolate Therapy and 18 like…

A:

Q: There are 150 flights expected to take off or land within one day at the planned Pickering airport.…

A: Total Flights = 150 Given that 92% of the flights are expected to be on time which means that 8% of…

Q: In a group of 80 bracu-cse students, in this semester, 50% of them took CSE230, 70% of them took…

A:

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

A:

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

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