Principle of Inclusion-Exclusion Help!! Hey! I came upon this problem and I have been intrigued since...it deals with the Principle of Inclusion-Exclusion (PIE): A group of 100 students took SAT II's in Chinese, English, and Math. Among them, 90 took Chinese, 70 took English, and 60 took Math. What is the smallest number of students who took all three exams? Ive been stumped because I don't know how to minimize the amount of students taking all three exams...especially since I am not given anything else (like the amount of students who took two of the exams etc). Help please! thanks in advance.