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: III. 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:

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: III. 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:

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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:

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