12. In a language survey of students, it is found that 80 students know English, 60 know
French, 50 know German, 30 know English and French, 20 know French and German,
15 know English and German and 10 students know all the three languages. How many
students know i) at least one language ii) English only iii) French and one but not both
out of English and German iv) at least two languages
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Answer:
I) English = 80+30+15+10
= 135
2) English = 80+30+15+10
= 135
3) French and German = 60+50+20
= 130
4) French = 60+30+20+10
= 140
German = 50+20+15+10
= 95
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