Question

In a class of 60 students,25 students play cricket and 20 students play baseball. If is fout that 10 students play both games. Find the number of students who play at leat one game​

Answer 1

Step-by-step explanation:

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

Given :

In a class of 60 students,25 students play cricket and 20 students play baseball and 10 students play both games

To find :

Find the number of students who play at least one game

solution :

Let C and T denote the number of students play Cricket and Tennis, respectively. And U denotes the total number of students in a class.

n(C) = 25, n(T) = 20 and n(∪)= 60

n(C ∪ T) = n(C) + n(T) - n(C ∩ 7)

= 25 + 20 - 10

= 45 - 10

= 35

The number of students who play neither Cricket nor Tennis

= n(C ∩ T) = n(∪) - n(C ∪ T)

= 60 - 35

= 25

=> 25 students who play at least one game