1) Given below is a Venn diagram for sets of students who take Maths, Physics, and Statistics. Which of the option(s) is (are) correct? [Notation: For sets P and Q, P\Q indicates the set of elements in P which are not in Q.]
Answers
Given : a Venn diagram for sets of students who take Maths, Physics, and Statistics
P\Q indicates the set of elements in P which are not in Q
To Find : Which of the option(s) is (are) correct?
D is set of students who take Maths and statistics
D ∪ E ∪ F ∪ G is set of students who take atleast two subjects
E is subset of students who have not taken maths
Maths\D is set of students who has taken only Maths
Physics \ ( D U G U E ) is set of students who has taken only physics
Soluttion:
D is set of students who take Maths and statistics - FALSE
D is Maths & Physics but not statistics
D ∪ E ∪ F ∪ G is set of students who take atleast two subjects - CORRECT
D , E & F two subjects
G is three subjects
E is subset of students who have not taken maths - CORRECT
E has only physics & statistics
Maths\D is set of students who has taken only Maths - FALSE
as Maths\D has F & G also which has physics & statistic students
Physics \ ( D U G U E ) is set of students who has taken only physics - CORRECT
Physics \ ( D U G U E ) = B which has only Physics
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