There are 100 students in a particular class 60% students play cricket 30% student play football and 10% students play both the games. What is the number of students who play neither cricket nor football?

There are 100 students in a particular class 60% students play cricket 30% student play football and 10% students play both the games. What is the number of students who play neither cricket nor football? Correct Answer 20

Given:

Total number of students = 100

Students play cricket = 60%

Students play football = 30%

Students play both the game = 10%

Calculation:

Let A and B represents the students play cricket and football respectively

Let x be the percentage of students play neither cricket nor football

⇒ n(A ∩ B) = 10

⇒ n(A) = 60

⇒ n(B) = 30

Now,

⇒ n(A) + n(B) + x − n(A ∩ B) = 100

⇒60 + 30 + x − 10 = 100

⇒x = 110 − 90 

⇒ 20

∴ The number of students who play neither cricket nor football is 20