Each of 35 students learns at least one of these languages: English, German, French.
5 students study all of these languages.
20 students study English.
15 students study German
10 students study French.
Decide which of these statement is true:
a) No student exists, who learns exactly 2 languages.
b) At least one student learns exactly 2 languages.
c) At least one student learns French and German and doesn't learn English.
d) Described situation cannot happen.
d) None of the statements is correct.
I would greatly appreciate if you describe how you got the result.