22 students study both subjects.
What is Venn diagram in math ?
- In a Venn diagram, sets are represented by shapes; usually circles or ovals.
- The elements of a set are labeled within the circle.
N=55,n(M)=23,n(P)=24,n(C)=19,n(M∩P)=12,n(P∩C)=7,n(M∩C)=9,n(M∩P∩C)=4
Now, number of students who studying only Mathematics
n(M∩P)∩C =n(M)−n(M∩P)−n(M∩C)+n(M∩P∩C) (by Venn diagram) diagram=23−9−12+4=6
number of students who studying only Physics
n(P∩M )∩C =n(P)−n(P∩M)−n(P∩C)+n(P∩M∩C) (by Venn diagram)
=24−12−7+4=9
Now, number of students who studying only Chemistry
n(C∩M )∩P =n(C)−n(C∩M)−n(C∩P)+n(M∩P∩C) (by Venn diagram)
=19−9−7+4=7
So, how many students study only one of the three disciplines in detail 6+9+7=22
Learn more about venn diagram
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