Out of 300 students in a class, 60 percent students study physics, 35 percent students study chemistry and 20 percent do not stu

Question

1 year ago

8

dy both of the subjects. how many students study both subjects

1 answer:

Natasha2012 [34] · Answer 1 · 2023-04-20T06:11:26+03:00

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

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