Question

college classes: how many students are taking math? how many students are taking science and history? how many students are taking math and science, but not history? question help: video message instructor submit question

Explanation:

Step1: Calculate students taking math

Add all sections in the math circle: \(8 + 18+12 + 3\).

$$8+18 + 12+3=(8 + 12)+(18 + 3)=20+21 = 41$$

Step2: Calculate students taking science and history

Find the intersection of science and history: \(6\).

Step3: Calculate students taking math and science but not history

Find the intersection of math and science not in history: \(12\).

Answer:

How many students are taking math? \(41\)
How many students are taking science and history? \(6\)
How many students are taking math and science, but not history? \(12\)