teenagers belong to at least one club. There are 3 clubs, chess, drama and art. 6 of the teenagers belong to only the art club, 5 of the teenagers belong to all 3 clubs. 2 of the teenagers belong to the chess and art clubs but not to the drama club.  15 of the teenagers belong to the art club.  2 of the teenagers belong only to the chess club.  3 of the teenagers belong only to the drama club. How many students do chess and drama but not art? How many students belong to the chess club?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Represent the problem with Venn diagram and answer the question based on the diagram. show solution of this set.

  1. All the members of a group of 30 teenagers belong to at least one club. There are 3 clubs, chess, drama and art.

6 of the teenagers belong to only the art club, 5 of the teenagers belong to all 3 clubs.

2 of the teenagers belong to the chess and art clubs but not to the drama club. 

15 of the teenagers belong to the art club. 

2 of the teenagers belong only to the chess club. 

3 of the teenagers belong only to the drama club.

  1. How many students do chess and drama but not art?
  2. How many students belong to the chess club?
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