Math Problem Statement

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, 8 would not go to a​ beach, 10 would not go to the family​ cottage, go to neither a park nor a​ beach, 3 would go to neither a beach nor the family​ cottage, 6 would go to neither a park nor the family​ cottage, 1 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? no explanation just the answer

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Inclusion-Exclusion Principle

Formulas

Inclusion-Exclusion Principle: |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |B ∩ C| - |A ∩ C| + |A ∩ B ∩ C|

Theorems

Inclusion-Exclusion Principle

Suitable Grade Level

Grades 9-12