every student takes at least one of two subjects of science and math out of 25 students in a class. 12 students have taken science and 4 of them didnt take math. express the information in venn diagram.
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Qʉɇ₴₮łø₦ ➡
In a survey of 25 students, it was found that 15 had Mathematics, 12 had taken physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students that had
(i) Only Chemistry (ii) Physics and Chemistry but not mathematics
(iii) Only one of the subjects (iv) None of the subjects
(v) at least one of the three
₳₦₴₩ɇɽ ➡
..
() 11−5−4+3=5
(3 )
() 4−3=1
() =15−9−5+3
=4
=12−9−4+3=2
=5⇒=11
() =11+9+5+4−2(3)
=29−6=23
⇒ =25−23=2
() 23
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