In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

To find the number of students who play neither football nor volleyball, we need to subtract the total number of students who play either football or volleyball (including those who play both) from the total number of students in the class. First, we add the number of students who play football and the number of students who play volleyball, then subtract the number of students who play both (since they were counted twice). 22 + 26 - 3 = 45 So there are 45 students who play either football or volleyball or both. To find the number of students who play neither, we subtract this from the total number of students in the class: 46 - 45 = 1 Therefore, only 1 student plays neither football nor volleyball. The correct answer is 1.