Question

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.

135 students ate breakfast
183 students ate lunch
278 students ate dinner
61 students ate breakfast and lunch
112 students ate breakfast and dinner
86 students ate lunch and dinner
52 students ate all three meals.

How many students ate:
(a) at least one meal in the cafeteria
(b) exactly one meal in the cafeteria
(c) only dinner in the cafeteria
(d) exactly two meals in the cafeteria