Ask Question
Computers and TechnologyComputers and Technology
3 December, 00:41

Counting calculus students. About A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have all taken at least one of the three classes. (a) Group A contains 157 students. Of these, 51 students in Group A have taken Math 2A, 80 have taken Math 2B, and 70 have takern Math 2C. 15 have taken both Math 2A and 2B, 20 have taken both Math 2A and 2C, and 13 have taken both Math 2B and 2C. How many students in Group A have taken all three classes? Solution (b) You are given the following data about Group B. 28 students in Group B have taken Math 2A, 28 have taken Math 2B, and 25 have taken Math 2C. 11 have taken both Math 2A and 2B, 9 have taken both Math 2A and 2C, and 10 have taken both Math 2B and 2C 3 have taken all three classes. How many students are in Group B? Feedback?

+1
Answers (1)
  1. 3 December, 02:34
    0
    Part (a) n (A∩B∩C) = 4

    Part (b) n (A∪B∪C) = 54

    Explanation:

    n (A) = no. of students who took Math 2A

    n (B) = no. of students who took Math 2B

    n (C) = no. of students who took Math 2C

    n (A∩B) = no. of students who took both Math 2A and 2B

    n (A∩C) = no. of students who took both Math 2A and 2C

    n (B∩C) = no. of students who took both Math 2B and 2C

    n (A∩B∩C) = no. of students who took all three Math 2A, 2B and 2C

    n (A∪B∪C) = no. of total students in a group

    ∩ represents Intersection and ∪ represents Union

    Part (a)

    n (A∪B∪C) = n (A) + n (B) + n (C) - n (A∩B) - n (A∩C) - n (B∩C) + n (A∩B∩C)

    Where n (A∩B∩C) represents the number of students who took all three classes and n (A∪B∪C) represents the total number of students in group A

    157 = 51 + 80 + 70 - 15 - 20 - 13 + n (A∩B∩C)

    Re-arranging the equation to solve for n (A∩B∩C) since we want to find out those students who took all three classes

    n (A∩B∩C) = 157 - 51 - 80 - 70 + 15 + 20 + 13

    n (A∩B∩C) = 4

    So there are 4 students in group A who took all three classes

    Part (b)

    n (A∪B∪C) = n (A) + n (B) + n (C) - n (A∩B) - n (A∩C) - n (B∩C) + n (A∩B∩C)

    This time we are given n (A∩B∩C) students who took all three classes and want to find n (A∪B∪C) that is total number of students

    n (A∪B∪C) = 28 + 28 + 25 - 11 - 9 - 10 + 3

    n (A∪B∪C) = 54

    So there are total 54 students in group B
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Counting calculus students. About A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a ...” in 📘 Computers and Technology if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
To determine the lowest number in a range of cells, which of the following function should be used? A. MIN B. Low C. Down D. Less
Answers (1)
Which of these is an off-site metric for social media marketing? a. the amount of return you get on the investment made b. customer engagement c. the number of followers on Twitter d. bounce rates for your web page
Answers (1)
g 6.8 LAB: Acronyms An acronym is a word formed from the initial letters of words in a set phrase. Write a program whose input is a phrase and whose output is an acronym of the input.
Answers (1)
Write 3 functions in the starter code below such that: add_to_dict () : takes a dictionary, a key, a value and adds the key, value pair to the dictionary. If key is already in dictionary then it displays the error message: "Error. Key already exists.
Answers (1)
A database table contains group I'd and group name fields. Which field can be the primary key of the table
Answers (2)
New Questions in Computers and Technology
The activity, set of institutions, and processes for creating, capturing, communicating, delivering, and exchanging offerings that have value for customers, clients, partners, and society at large is called
Answers (1)
Microsoft Word's spell checker A. recognizes all technical terms. B. will also check word usage. C. suggests alternate words. D. only recognizes very common words.
Answers (1)
1. What conversion factor should be used to convert from Gigaliters to liters?
Answers (1)
Linda has written a program that works well on various operating systems, but she needs to increase the readability of the program. Which quality of the program should linda focus on to meet her goal? A. efficiency B. flexibility C. structure D.
Answers (1)
Write a loop that asks the user to enter a number. the loop should iterate 10 times and keep a running total of the numbers entered.
Answers (1)
Home » Computers and Technology » Counting calculus students. About A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have all taken at least one of the three classes. (a) Group A contains 157 students.
Sign Up Forgot Password?