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?