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Of the 196 students in the entering class at Lakeside Community College, 100 of them plan to participate in sports, 85 in student government, and

Of the 196 students in the entering class at Lakeside Community College, 100 of them plan to participate in sports, 85 in student government, and 55 in the theater arts. 27 indicated they would participate in sports and student government, 24 in sports and theater arts, 14 in student government and theater arts, and 10 said they will take part in all three of the extracurricular activities. How many will not participate in any of the three extracurricular activities?

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