Question

A survey was conducted to know the hobby of 220 students of class 9. out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. there are 110 students follow both the hobbies. then how many students do not have any of two hobbies? how many of them follow the hobby of rock climbing only? How many students follow the hobby of sky watching only?

Answer 1

number of students who do not like Rock climbing and sky watching=20
students who only like rock climbing=20
students who only like sky watching=70
formula is given

Answer 2

Answer:

20 , 20, 70

Step-by-step explanation:

given that

student like rock climbing (rc)=130

student like sky watch (sw)=180

so according to set theory

$</p><p>n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\=130+180-110\\\\=200</p><p>$

now for students who do not have any hobby=total students - who have any hobby

=220-200

=20

students who like rock climbing only= 130-110

=20

students who like sky watch only =180-110

=70