Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the right. Select the correct choice below and fill in any answer boxes in your choice.     A. ​n(A)=   ​n(B)=   ​n(C)=     B. It is not possible to find the number of elements in sets​ A, B, and C. n(A∩B)=5​,    n(A∩B∩C)=3​,    n(B∩C)=9​,    n(B−A)=8​,    n(B∪C)=19​,    n(A∩C)=6​,    n(A∪B∪C)=22.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the right.
Select the correct choice below and fill in any answer boxes in your choice.
 
 
A.
​n(A)=
 
​n(B)=
 
​n(C)=
 
 
B.
It is not possible to find the number of elements in sets​ A, B, and C.
n(A∩B)=5​,
  
n(A∩B∩C)=3​,
  
n(B∩C)=9​,
  
n(B−A)=8​,
  
n(B∪C)=19​,
  
n(A∩C)=6​,
  
n(A∪B∪C)=22.
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