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?