A principal surveyed 106 members of the senior class.  15 played only sports, 11 were only in music, and 8 were involved only with clubs.  12 were involved with sports and clubs, 21 were involved in sports and music, and 16 were involved with music and clubs.  9 seniors were involved in all three activities.  How many seniors were not involved in any of these activities?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 6E
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A principal surveyed 106 members of the senior class.  15 played only sports, 11 were only in music, and 8 were involved only with clubs.  12 were involved with sports and clubs, 21 were involved in sports and music, and 16 were involved with music and clubs.  9 seniors were involved in all three activities.  How many seniors were not involved in any of these activities?

   

23

   

14

   

9

   

7

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