VENN DIAGRAM PROBLEM
Consider the following data for 120 mathematics students.
65 study French 20 study French and German
45 study German 25 study French and Russian
42 study Russian 15 study German and Russian
8 study all three languages.
Let F, G and R denote the sets of students studying French, German
and Russian, respectively.
a.) Find the number of students studying at least one of the three
languages.
b.) Find the number k of students studying:
i.) exactly one language
ii.) exactly two languages.
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