Question

10 students are taking Mark's class. 7 students are taking Jackson's class. If 2 students are taking both classes, how many total students are there in total between the two classes?

Answer 1

By using the principle of inclusion-exclusion, we find that the total number of students between the two classes is 15, calculated by adding the number of students in each class and subtracting those who are in both.

Step-by-step explanation:

To calculate the total number of students taking Mark's class and Jackson's class without double-counting those who are taking both, we can use the principle of inclusion-exclusion. The formula is:

Total number of students = (Students in Mark's class) + (Students in Jackson's class) - (Students in both classes)

We are given that 10 students are taking Mark's class, 7 students are taking Jackson's class, and 2 students are taking both classes:

Total number of students = 10 + 7 - 2 = 15

Therefore, there are 15 students in total between the two classes.