Question

There are 100 students at a college who have taken a course in calculus, 110 who have taken a course in discrete mathematics, and 50 who have taken courses in both calculus and discrete mathematics. The number of students who have taken a course in either calculus or discrete mathematics is

Answer 1

110 students

Explanation:

The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

`C =100 -50\\C= 50\ students`

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

`D =110 -50\\C= 60\ students`

The number of students that have taken a course in either calculus or discrete mathematics is:

`E = C+D = 50+60\\E= 110\ students`