1. Maximum score 10 (3 parts a and b and 4 part c) Let A = {1,2,3,4 ,5 ,6}, B = {0,2,4,6}, C {1,3,7). Find: AU(BNC) ; (b) (AUB)(An C) and (c) An(BU C) 3. Maximum score 20 (5 points each part) There are three groups of people, people who like Apples, Bananas, and Cherries. 19 people like Apples. 23 people like Bananas. 13 people like Cherries. 7 people like Apples AND Bananas. 7 people like Bananas AND Cherries. 6 people like Apples AND Cherries. 4 people like all of them. Using this information, draw Venn diagram, and from it answer the following questions.. (a) How many people like Apples but don't like Bananas? (b) How many people like Apples or Bananas (not exclusively) but DO NOT like Cherries? (c) How many people only like one fruit? (d) How many people like AT LEAST two fruits? 4. Maximum score 20 (5 points each part) To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted with the following data: 130 students ate breakfast (B), 180 students ate lunch (L), 275 students ate dinner (D), 68 students ate breakfast and lunch, 112 students ate breakfast and dinner, 90 students ate lunch and dinner, and 58 students ate all three meals. How many of the students (a) Ate at least one meal in the cafeteria? (b) Ate exactly one meal in the cafeteria? (c) Ate only dinner in the cafeteria? (d) Ate exactly two meals in the cafeteria