A school offers English (S), French (F) and German (G) language classes. 100 students take at least one of the three languages. 39 take English, 38 take French, and 37 take German. 72 take English or French, 2 take French and German, 4 take English and French but not German.

(a) Draw a Venn diagram and place the number of elements.

(b) Randomly select a student from the class and nd the probability that he or she takes all three languages.

(c) Randomly select a student from the class and nd the probability that he or she takes only Spanish.