Inclusion Exclusion Principle 200 Bostonians were surveyed regarding which rival teams they dislike. The 3 teams they were surveyed about were the Yankees, Lakers, and Canadiens: . 170 dislike the...

Extracted text: Inclusion Exclusion Principle 200 Bostonians were surveyed regarding which rival teams they dislike. The 3 teams they were surveyed about were the Yankees, Lakers, and Canadiens: . 170 dislike the Yankees; • 143 dislike the Lakers: • 130 dislike the Canadiens; 111 dislike the Yankees and Canadiens; 120 dislike the Yankees and Lakers; • 99 dislike the Lakers and Canadiens; • 80 dislike all three teams. Use the inclusion-exclusion principle to answer the following questions, briefly describing your answer for each: I. How many people dislike either the Yankees, Lakers, or both? Answer: I. How many people dislike none of the three teams? Answer: II. How many people dislike just the Yankees? Answer: IV. How many people dislike both the Lakers and Canadiens, but not the Yankees? Hint 1: If you're getting caught up by "dislike" in the problem, you can change each instance to "like" and nothing about the answer will change. Hint 2: If you get stuck, draw a Venn diagram and color in the part you want to compute the cardinality of. Answer: