1. In a survey of university students 64 had taken mathematics course
Advanced Engineering Mathematics
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ISBN:9780470458365
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe29127a4-9a97-44ad-8507-d0d1cc98b411%2F7a3c26c4-214c-4d45-8aa6-bdd3adbdaf37%2Fl8csqqu_processed.jpeg&w=3840&q=75)
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.
Expert Solution
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Step 1
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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