Question

In a domentary of 60 students, 31 play football, 40 play tennis 15 play both. How many only football, how many play both, and how many neither football nor tennis

Answer 1

Step-by-step explanation:

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

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

Given:-

n(A∩B)=10

n(A)=50

n(B)=40

Now,

n(A)+n(B)+x−n(A∩B)=100

⇒50+40+x−10=100

⇒x=110−90=20

Hence 20% students play neither cricket not foot ball