Bunuel wrote:
Official Solution:
6 students in a group study different languages as specified:
Russian: 4
Ukrainian: 3
Hebrew: 2
Each student studies at least 1 language. If it is also known that exactly 3 students study exactly 2 languages, how many students are studying all three languages?
A. 0
B. 1
C. 2
D. 3
E. 4
We have a total of 9 classes taken by 6 students. If 3 of them study 2 languages (which makes \(3*2=6\) classes), we have \(9-6=3\) classes and \(6-3=3\) students left. Therefore, as students are studying at least one language, nobody is taking all 3.
Answer: A
Did nt understand the explanation.
I agree that 6 classes are taken by 3 who study 2 languages.
3 classes are left. Now 3 students can be taking all 3 classes or 3 students can be taking individual 3 subject classes. How does 3 students taking 3 classes can be ruled out as in both these cases, each student is studying atleast 1 language.