Venn Diagram Sol'n6-8

Venn diagram ( sol’n) 6 The number from the diagram is 15 out of 40 students, so that fraction reduces to 3/8. The answer for (a) is 3/8. As you can see from the diagram there are 9 students studying drama out of the entire 40 students. The answer for (b) is 9/40. It is clear from the diagram that the number of students who do not study either subject is 12. When the fraction is reduced, it equals 3/10. The answer for (c) is 3/10.

Venn diagram ( sol’n) 7

Venn diagram ( sol’n) 8 Solution: The following Venn diagram shows that 15 students failed at least one exam. Therefore the number of students who passed all three exams is 41 - 15 = 26.