i. There are 40 students in a class 20 take chemistry class and 25 take physics class 8
students take both. How many are there in at least one classes ?and how many students
take none of these classes
Answers
Answer:
in class 20 there have 2 students and in class 8 there have 3to 4 students
Step-by-step explanation:
Given:-
There are 40 students in a class 20 take chemistry class and 25 take physics class 8
There are 40 students in a class 20 take chemistry class and 25 take physics class 8 students take both.
To find:-
How many are there in at least one classes ?
and how many students take none of these classes
Solution:-
No. of students in a class =40
No. of students who took Chemistry class =
n(C)=20
No. of students who took Physics class=
n(P)=25
No. of students who took both chemistry and physics classes=n(CnP)=8
Using formula :-
we know that
n(AUB)=n(A)+n(B)-n(AnB)
n(CUP)=n(C)+n(P)-n(CnP)
=>nCUP)=20+25-8
=>n(CUP)=45-8
= n(CUP)=37
Total students who took at least one class =37
No.of students who took none of the classes=40-37=3