In a Department of Business Management, 150 students offered business mathematics;85 students offered Enterpreneurship;75 students business mathematics and not Entrepreneurship, and 5 students offered neither courses.

Question

Required:
1- Represents the above information in a Venn diagram
2-Calculate number of student that offered both courses
3-Calculate number of students that offered Entrepreneurship but not business mathematics.
4-Calculate the total number of students in the department
5-Calculate the number of students that offered at least on course.
6- Calculate the number of student that offered at most one course.

Answer 1

If you draw your Venn diagram, it should be clear that
75 did both
10 did only Entrepeneurship

and now the questions should be easy to answer.