Question

In a group of students, 225 students know French, 100 know Spanish and 45 know both. Each student knows either French or Spanish. How many students are there in the group.

Answer 1

Let F and S denote the no. of students who know French and Spanish, respectively. 

Given, 

n(F) = 225, n(S) = 100, n(F ∩ S) 

= 225 + 100+ - 45 

= 325 – 45 

= 280