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There are 3 common allergies that people have. 55 students are taking a survey on

what allergy they have and all have at least one allergy: nut, egg and seafood.

Here are the findings:

- 18 students have an allergic reaction to nuts alone

- 15 students have an allergic reaction to eggs alone

- 8 students have an allergic reaction to seafood alone

- 4 students have an allergic reaction to both egg and seafood but not nuts

- 5 students have an allergic reaction to both nuts and seafood but not eggs

- 6 students have an allergic reaction to at least seafood and eggs.

How many students have an allergic reaction to nuts and eggs but not seafood?