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
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