Mathematics

Mathematics

Problem

In a survey of 200200 people regarding their breakfast preferences: 120120 eat Toast (TT), 9090 eat Eggs (EE), and 7070 eat Fruit (FF). 4040 eat both Toast and Eggs, 3030 eat Eggs and Fruit, 5050 eat Toast and Fruit, and 2020 eat all three. How many people eat exactly one of these items?

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