Of the 196 students in the entering class at Lakeside Community​ College, 100 of them plan to participate in​ sports, 85 in student​ government, and 55 in the theater arts. 27 indicated they would participate in sports and student​ government, 24 in sports and theater​ arts, 14 in student government and theater​ arts, and 10 said they will take part in all three of the extracurricular activities. How many will not participate in any of the three extracurricular​ activities?

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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Of the 196 students in the entering class at Lakeside Community​ College, 100 of them plan to participate in​ sports, 85 in student​ government, and 55 in the theater arts. 27 indicated they would participate in sports and student​ government, 24 in sports and theater​ arts, 14 in student government and theater​ arts, and 10 said they will take part in all three of the extracurricular activities. How many will not participate in any of the three extracurricular​ activities?
 
 

 

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