53 Freshmen were interviewed about the classes they were taking this semester. 20 said they were taking science 25 said they were taking math 16 said they were taking English 7 said they were taking both science and math 10 said they were taking both science and English 8 said they were taking both math and English 2 said they were taking all three classes How many students are not taking any science, math, or English? How many students are taking exactly one of science, math or English? Solution I know you have to draw a vinnem diagram, It\'s called a Venn diagram after some guy with that name. And what exactly do you have to find out? Here is what I have. The 3 circles intersect. Put a 2 in the overlap of the 3 circles. It looks sort of like a triangle put a 5 in the math/science overlap, a 8 in the science/English overlap and a 6 in the math/English overlap. You can see that there are 5taking math/science. 8 taking science/English 6 taking math/English 18 students are not taking science 13 students are not taking math 22 students are not taking english 12 math 5 science no student taking only english .