In a group, students know at least one of the languages, German or French. 100 students know German and 40 know French and 10 know both German and French. If there are 20 students who know neither of the two languages, how many students are there in the group?

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let G be the set of students who know German and F be the set of students who know French. So, we have    
n(G  F) = n(G) + n(F) – n(G  F)
 n(G  F) = 100 + 40 – 10 = 130
20 students who know neither of the two languages
So, total students = 130 + 20 = 150

Answered by  | 4th Jun, 2014, 03:23: PM