Venn Diagram Challenge 03

Now try this on your own...
157 theater majors were surveyed, and the following data were collected.

66 liked James Dean.
79 liked Clint Eastwood.
70 liked Paul Newman.
43 liked Dean, but not Eastwood
53 liked Eastwood, but not Newman.
37 liked Newman, but not Dean.
145 liked at least one of the following three actors: Dean, Eastwood, and Newman.
145 liked at most two of the following three actors: Dean, Eastwood, and Newman.

a. How many liked Dean, but neither Eastwood nor Newman?
b. How many liked Eastwood, but neither Dean nor Newman?
c. How many liked Newman, but neither Dean nor Eastwood?
d. How many liked both Dean and Eastwood, but not Newman?
e. How many liked both Newman and Eastwood, but not Dean?
f. How many liked both Dean and Newman, but not Eastwood?
Ans: a. 22, b. 42, c. 23, d. 11, e. 14, f. 21