One hundred students were asked whether they had taken course in any of three
areas, sociology, anthropology and history. The results were
59
45 had taken sociology,
38 had taken anthropology,
21 had taken history,
18 had taken sociology and anthropology,
9 had taken sociology and history.
4 had taken history and anthropology
If 23 had taken no courses in any of the three areas.
(a) Draw a Venn diagram that will show the results of the survey.
(b) Determine the number of students who had taken classes in exactly
(1) one of the areas (ii) two of the areas.