In a class of 79 students 41 are taking French, 22 are taking German.

In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

Quiz

Answer/Solution

25

Steps/Work

Formula for calculating two overlapping sets:
A + B - both + NOT(A or B) = Total
so in our task we have equation:
41 (french) + 22 (german) - 9 (both) + NOT = 79
54 + NOT = 79
NOT = 79 - 54 = 25
So answer is C

Other Calculator / Auto Solver

In a class of students are taking french, are taking german. Of the students taking french or german, are taking both courses. How many students are not enrolled in either course?

Calculated Answer

25

Step by Step Solution

In order to solve problem, you must evaluate n0 - (n1 + n2 - n3).

n0 =79
n1 =41
n2 =22
n3 =9