To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 126 students ate breakfast. 183 students ate lunch. 271 students ate dinner. 63 students ate breakfast and lunch. 112 students ate breakfast and dinner. 90 students ate lunch and dinner. 53 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students (b) Exactly one meal in the cafeteria? students (c) Only dinner in the cafeteria? students (d) Exactly two meals in the cafeteria? students

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
126 students ate breakfast.
183 students ate lunch.
271 students ate dinner.
63 students ate breakfast and lunch.
112 students ate breakfast and dinner.
90 students ate lunch and dinner.
53 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students
(b) Exactly one meal in the cafeteria?
students
(c) Only dinner in the cafeteria?
students
(d) Exactly two meals in the cafeteria?
students
Transcribed Image Text:To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 126 students ate breakfast. 183 students ate lunch. 271 students ate dinner. 63 students ate breakfast and lunch. 112 students ate breakfast and dinner. 90 students ate lunch and dinner. 53 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students (b) Exactly one meal in the cafeteria? students (c) Only dinner in the cafeteria? students (d) Exactly two meals in the cafeteria? students
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