I am confused with this problem. We are working on Set operations and avena diagrams.  This is the problem I need help with: n(U)= 60, n(A)= 27, n(B)= 22 and n(A intersects B)= 5 find n(A union B)’

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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I am confused with this problem. We are working on Set operations and avena diagrams. 

This is the problem I need help with:

n(U)= 60, n(A)= 27, n(B)= 22 and n(A intersects B)= 5

find n(A union B)’

Expert Solution
Step 1

To determine the number of elements in the set (A union B)' (the complement of the union of A and B. We use the corresponding Venn diagram,

Step 2

The Venn diagram displays all the information given in the problem statement. The required number of elements can be read off from the Venn diagram.

U, 60
n(A U B) number of
elements in either A
16
B
22 517
or B 22+5+17=44
n(AUB)-number of
elements in U not in
AUB 60-44=16
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