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MathNet 2003 — Part 02 Question 33

Math Olympiad Vault · MathNet 2003 — Part 02

Question 33

In a group of 60 students: 40 speak English; 30 speak French; 8 speak all the three languages; the number of students that speak English and French but not German is equal to the sum of the number of students that speak English and German but not French plus the number of students that speak French and German but not English; and the number of students that speak at least 2 of those languages is 28. How many students speak:

a) German;

b) only English;

c) only German?