6th Grade Principle of Inclusion and Exclusion: Problem 2

Problem: In a room, there is a total of 12 people. Six of them speak English, five speak Spanish, and five speak French. Three speak both English and Spanish, two speak both Spanish and French, and two speak English and French. One person speaks all three languages. How many more people only know one language than the number of people who doesn't know English, Spanish, or French?

Key: Create a region for all categories of people

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