1. In a survey of university students 64 had taken mathematics course

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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1. In a survey of university students 64 had taken mathematics course, 94 had taken chemistry
course, 58 had taken physics course. 34 had taken mathematics and physics, 35 had taken
physics and chemistry, 31 had taken chemistry and mathematics. 64 had taken exactly two of
the three courses.
(a)
How many students had taken all the three courses.
(b)
How many students had taken only the mathematics course.
(c)
How many students had taken exactly one course.
Transcribed Image Text:1. In a survey of university students 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course. 34 had taken mathematics and physics, 35 had taken physics and chemistry, 31 had taken chemistry and mathematics. 64 had taken exactly two of the three courses. (a) How many students had taken all the three courses. (b) How many students had taken only the mathematics course. (c) How many students had taken exactly one course.
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Given, in a survey of university students 64 had taken mathematics courses, 94 had taken chemistry
courses, 58 had taken physics courses. 34 had taken mathematics and physics, 35 had taken
physics and chemistry, 31 had taken chemistry and mathematics. 64 had taken exactly two of
the three courses.

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