Question

In a class of 60 students 25 students play cricket and 20 students play tennis and 10 students play both the games. find the number of students who play neither ?

Answer 1

Answer:

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

Step-by-step explanation:

We are given,

Universal set U that is collection of all students, n( U ) = 60

Set C be the collection of  student play cricket , n( C ) = 25

Set T be the collection of student play tennis , n( T ) = 20

number of students who play both game , n( C ∩ T ) = 10

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

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 = n( U ) - n( C ∪ T ) = 60 - 35

                                                                       = 25

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