Combinations Question (Please provide an explanation!)
- There are 140 students in the entire 12th Grade class.
- 52 signed up for biology.
- 71 signed up for chemistry.
- 40 signed up for physics.
- 15 signed up for biology and chemistry
- 8 signed up for chemistry and physics.
- 11 signed up for biology and physics.
- 2 signed up for all 3 sciences.
a) How many students are NOT taking any science?
The answer for a) is 9, why is that? Explain if can.
b) Illustrate this using a Venn diagram.
Please provide an explanation, I don't understand.