Question

21- In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Then, the number of students who play neither

Answer 1

given,total number of students in the class=60
students playing cricket=25
students playing tennis=20
students playing both=10
therefore students playing neither =(25+10+20+10)-60=65-60=5 students
thank you, hope it helps!

Answer 2

Answer:

Number of students who play neither tennis nor cricket is 25.

Step-by-step explanation:

Given,

Universal set U that is collection of all students = 60

Set C be the collection of  student play cricket  = 25

Set T be the collection of student play tennis  = 20

number of students who play both game  = 10

We need to find number student who don't play any game

let, n( C ) = 25 , n( T ) = 20 ,  n( C ∩ T ) = 10 and Number of student play at least one game = n( C ∪ T )

Now we know that,

n ( C ∪ T ) = n( C ) + n( T ) - n( C ∩ T ) = 25 + 20 - 10 = 45 - 10 = 35

Number student who don't play any game = 60 - 35 = 25

Therefore, Number of students who play neither tennis nor cricket is 25.