HYRIGH fararefant et fanter i In a class of 25 student, 17 like volleyball, 15 like basketball and 10 like both games.
Illustrate it with a Venn-diagram and find the number of
students who don't like any of the games. (Ans: 3]​

Given:

Total students in a class = 25

Students who like volleyball = 17

Students who like basketball = 15

Students who like both = 10

To find:

The students who don't like any of the games.

Solution:

We have,

Total students in a class = 25

Students who like volleyball = 17

Students who like basketball = 15

Students who like both = 10

Now,

Students who like only volleyball = 17-10

                                                       = 7

Students who like only basketball = 15-10

                                                       = 5

Students who don't like any of the games is the difference of total number of students and number of students who like at least one game.

Students who don't like any of the games = 25 - (7+5+10)

                                                                      = 25 - 22

                                                                      = 3

Therefore, 3 students don't like any of the games.