Question

In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
a. 6
b. 15
c. 24
d. 33
e. 54

Answer 1

78-41-22+9=24 the students are mutually exclusive. The answer is C

Answer 2

The answer is A (6) because 41+22+9=72, and there are 72 students enrolled in either of the courses. When you subtract 72 from 78 you get 6, which is the ending amount of students  hat are not enrolled in French class, or German class.