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WORKBOOK
WORD PROBLEMS RELATED WITH SETS
If in a classroom there are students who speak only English, only German, both of these
languages, then
b : English and German
E G a + b + c : English or German
a : only English
a b c
c : only German
d a + c : only English or only German
a + c + b = at least one of these languages
a + c + d = at most one of these languages
1) For 40 students speaking English, French, Spanish or none of these in a class, the following Venn
diagram is given.
E: students who speak English
F: students who speak French
S: students who speak Spanish
A: universal set (class)
Answer the given questions.
How many students;
a. speak English:……… e. speak both English and French:……
b. speak only Spanish:…….. f. speak all three languages:………
c. speak none of these languages:………….. g. speak both French and Spanish but not
English:………
