Topic Set theory A family discussed where their annual reunion should take place. They found that of all the family members 8 would not go to a park 7 would not go to a beach 11 would not go to the family cottage 3 would go to neither a park nor  a beach 4 would go to neither a beach nor the family cottage 6 would go to neither a park nor the family cottage 2 would not go to a park or a beach or to the family cottage 1would go to all three places What is the total number of family members? venn diagram needed

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 17E
icon
Related questions
Topic Video
Question

Topic Set theory

A family discussed where their annual reunion should take place. They found that of all the family members

8 would not go to a park

7 would not go to a beach

11 would not go to the family cottage

3 would go to neither a park nor  a beach

4 would go to neither a beach nor the family cottage

6 would go to neither a park nor the family cottage

2 would not go to a park or a beach or to the family cottage

1would go to all three places

What is the total number of family members?

venn diagram needed

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 6 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning