Question

In a school there are 28% of total students particiapted for
Cricket competiton, 33% of total students participatdfor
football competiton, 38% of total studetns participated for
Hokey competition. 10% of total students participated for
both Cricket and Football competition 8% particiapted for
both Football and Hockey competition. 7% participated
for both Hockey and Cricket competition. 2% of all stu-
dents participated for all three competition. If 240 students
did not participate in any competition then find number of
students in that school?​

Answer 1

Answer:

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

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