When the members of a family discussed where their annual reunion should take​ place, they found that out of all the family​ members, 9 would not go to a​ park, 6 would not go to a​ beach, 10 would not go to the family​ cottage, 4 would go to neither a park nor a​ beach, 4 would go to neither a beach nor the family​ cottage, 7 would go to neither a park nor the family​ cottage, 3 would not go to a park or a beach or to the family​ cottage, and 1 would go to all three places. What is the total number of family​ members?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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When the members of a family discussed where their annual reunion should take​ place, they found that out of all the family​ members,

9

would not go to a​ park,

6

would not go to a​ beach,

10

would not go to the family​ cottage,

4

would go to neither a park nor a​ beach,

4

would go to neither a beach nor the family​ cottage,

7

would go to neither a park nor the family​ cottage,

3

would not go to a park or a beach or to the family​ cottage, and

1

would go to all three places. What is the total number of family​ members?

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