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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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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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