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Mrs. Smith surprised her 30 students with cookies. She gave them a choice of chocolate chip, peanut butter and sugar cookies. 5 students had only a chocolate chip cookie, 3 had only a peanut butter cookie, and 2 had only a sugar cookie. 5 students had a chocolate chip cookie and a peanut butter cookie, 5 students had a sugar cookie and a peanut butter cookie, 6 had a chocolate chip and a sugar cookie, and 4 students had all three. How many students were vegans and chose not to have a cookie?
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