Question

in a class of 60 students 25 play cricket 20 students play tennis and 10th students play both the game the number of students who play neither tennis nor cricket is

Answer 1

no of students U = 60.
student who play cricket C = 25.
student who play tannis T = 20.
students who plays both of them = 10
so student who plays neither of them = 60 - ( 25+ 20 - 10 ) = 60 - 35 = 25

Answer 2

Answer:

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

Step-by-step explanation:

Let U be the universal set that is collection of all students, n( U ) = 60

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

T be the set 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, n( C ∪ T )'

we know that,

n ( C ∪ T ) = n( C ) + n( T ) - n( C ∩ T )

                = 25 + 20 - 10

                = 45 - 10

                = 35

n( C ∪ T )' = n( U ) - n( C ∪ T ) = 60 - 35 = 25

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