GATE EC 2017 Set 2 — Question 60
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Question
students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (), Physics (), Mathematics (), Chemistry and Physics (), Chemistry and Mathematics (), and Physics and Mathematics (). How many students are taking all subjects?
Correct answer
(D) 53
Solution
We use the Principle of Inclusion-Exclusion for three sets (Chemistry), (Physics), and (Mathematics):Given values:
- (total students taking one or more courses)
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