Survey Diagram for a Mathematical Venn Question

A survey was conducted among 76 patients admitted to a hospital cardiac unit during a two-week period. The data of the survey are shown below.

Let B = the set of patients with high blood pressure.

Let C = the set of patients with high cholesterol levels.

Let S = the set of patients who smoke cigarettes.

Use the conditions given above to answer the following questions.

a. Find the number of these patients that had either high blood pressure or high cholesterol levels, but not both.

b. Find the number of these patients that had fewer than two of the indications listed.

c. Find the number of these patients that were smokers but had neither high blood pressure nor high cholesterol levels.

d. Find the number of these patients that did not have exactly two of the indications listed.