A group of 91 students were surveyed about the courses they were taking at their college with the following results: 39 students said they were taking Math. 47 students said they were taking English. 38 students said they were taking History. 14 students said they were taking Math and English. 16 students said they were taking Math and History. 27 students said they were taking English and History. 11 students said they were taking all three courses. How many students took none of the courses ?

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
Section: Chapter Questions
Problem 1CA
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A group of 91 students were surveyed about the courses they were taking at their college with the following results:

39 students said they were taking Math.
47 students said they were taking English.
38 students said they were taking History.
14 students said they were taking Math and English.
16 students said they were taking Math and History.
27 students said they were taking English and History.
11 students said they were taking all three courses.

How many students took none of the courses    ?

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