The magnitude of the union of three sets is computed by the following formula. |AUBUC| = |A|+|B|+|C|-|ANB|-|ANC|-|BNC|+|ANBNC| 1. Write out the formula for the magnitude of the union of five sets. 2. How many terms will be in the formula for the magnitude of the union of n sets? 3. What is the maximum number of sets that can be made into a Venn diagram? Remember that the sets need not be circles.
The magnitude of the union of three sets is computed by the following formula. |AUBUC| = |A|+|B|+|C|-|ANB|-|ANC|-|BNC|+|ANBNC| 1. Write out the formula for the magnitude of the union of five sets. 2. How many terms will be in the formula for the magnitude of the union of n sets? 3. What is the maximum number of sets that can be made into a Venn diagram? Remember that the sets need not be circles.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![**1108 HW # 3**
The magnitude of the union of three sets is computed by the following formula:
\[
|A \cup B \cup C| = |A| + |B| + |C| - |A \cap B| - |A \cap C| - |B \cap C| + |A \cap B \cap C|
\]
1. Write out the formula for the magnitude of the union of five sets.
2. How many terms will be in the formula for the magnitude of the union of n sets?
3. What is the maximum number of sets that can be made into a Venn diagram? Remember that the sets need not be circles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9541682-e857-41d4-a72d-405b60de9c71%2F8ce60a39-7c05-4b29-8881-de5fc688acd0%2Feleia7k_processed.png&w=3840&q=75)
Transcribed Image Text:**1108 HW # 3**
The magnitude of the union of three sets is computed by the following formula:
\[
|A \cup B \cup C| = |A| + |B| + |C| - |A \cap B| - |A \cap C| - |B \cap C| + |A \cap B \cap C|
\]
1. Write out the formula for the magnitude of the union of five sets.
2. How many terms will be in the formula for the magnitude of the union of n sets?
3. What is the maximum number of sets that can be made into a Venn diagram? Remember that the sets need not be circles.
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