An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 98 students in the school. There are 38 in the Spanish class, 30 in the French class, and 18 in the German class. There are 13 students that in both Spanish and French, 6 are in both Spanish and German, and 8 are in both French and German. In addition, there are 4 students taking all 3 classes. If two students are chosen randomly, what is the probability that neither of them is taking a language class? 3. The attempt at a solution I believe that I have to figure out exactly how many students are not taking any language courses and then use permutation to get the probability. So something like this: xPx/98P2 I have been unable to figure out how to get the right number of students that are not taking a language course. Please help.