In a university, there are 40 students majoring in math. They need to take at least one of three courses A, B, C. Suppose we know 20 students take course A, and 25 take B, 21 take C, 10 take A and B, 10 take B and C and 10 take A and C. (a) How many math students take all three courses A, B and C? (b) How many math students take courses A and B but not C? (c) How many math students take exactly two courses?
In a university, there are 40 students majoring in math. They need to take at least one of three courses A, B, C. Suppose we know 20 students take course A, and 25 take B, 21 take C, 10 take A and B, 10 take B and C and 10 take A and C. (a) How many math students take all three courses A, B and C? (b) How many math students take courses A and B but not C? (c) How many math students take exactly two courses?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 21CT: How many ways can 4 men and 4 women stand in line if all the women are first?
Related questions
Question
In a university, there are 40 students majoring in math. They need to take at least one of three courses A, B, C. Suppose we know 20 students take course A, and 25 take B, 21 take C, 10 take A and B, 10 take B and C and 10 take A and C. (a) How many math students take all three courses A, B and C? (b) How many math students take courses A and B but not C? (c) How many math students take exactly two courses?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning

Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell

Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning

College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning

Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell

Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning


Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL

College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning