Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows:

59 preferred comedies.
38 preferred variety shows.
42 preferred serious drama.
18 preferred comedies and variety programs.
12 preferred variety and serious drama.
16 preferred comedies and serious drama.
7 preferred all types.
2 did not like any of these TV show types.

If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?