Question: STUDENT SURVEYS The Department of Foreign Languages of a liberal arts college conducted a survey of its recent graduates to determine the foreign language courses they had taken while undergraduates at the college. Of the 480 graduates
200 had at least 1 yr of Spanish.
178 had at least 1 yr of French.
140 had at least 1 yr of German.
33 had at least 1 yr of Spanish and French.
24 had at least 1 yr of Spanish and German.
18 had at least 1 yr of French and German.
3 had at least 1 yr of all three languages.
How many of the graduates had
a. At least 1 yr of at least one of the three languages?
b. At least 1 yr of exactly one of the three languages?
c. Less than 1 yr of any of the three languages?