Math Problem Statement

There are 3737 students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been to Germany or France but not Spain?

1717 members have visited Germany 1919 have been to Spain 1414 have visited France 77 have been to Germany and France 44 have only been to Germany 77 have only been to Spain 33 have been to only Spain and France 33 have been to all three countries Some of the members have not been to any of the three

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Logical Reasoning

Formulas

Set Union Formula: |A ∪ B|
Set Difference Formula: |A - B|
Intersection Formula: |A ∩ B|

Theorems

Principle of Inclusion-Exclusion

Suitable Grade Level

Grades 9-11