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Q: THERE are 30 students. 12 play basket ball . 15 play soccer and 19 play volleyball. if 7 play all 3 games and exactly 6 play 2 games , how many of them play none of 3 games?

Q: THERE are 30 students. 12 play basket ball . 15 play soccer and 19 play volleyball. if 7 play all 3 games and exactly 6 play 2 games , how many of them play none of 3 games?

0 2 4 6 8

No of students who play games = (15+19+12) - 2(7)-6 = 46-20=26

Ans= 30-26= 4
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

I could solve this via Venn Diagram but in your solution I couldnt understand -2(7)-6 !!

Normally when we have 2 entities like X and Y , we can do it the following way:

X + Y + Neither - Both = Total

In case of >2 entities I am not sure how to go about..only Venn diagram seems to be the way to go...Does anyone know any other shortcut?

x2suresh wrote:

vcbabu wrote:

Q: THERE are 30 students. 12 play basket ball . 15 play soccer and 19 play volleyball. if 7 play all 3 games and exactly 6 play 2 games , how many of them play none of 3 games?

0 2 4 6 8

No of students who play games = (15+19+12) - 2(7)-6 = 46-20=26

Q: THERE are 30 students. 12 play basket ball . 15 play soccer and 19 play volleyball. if 7 play all 3 games and exactly 6 play 2 games , how many of them play none of 3 games?

0 2 4 6 8

B + S+ V - (a+b+c)-2d+n=30 12+15+19-6-2*3+n=30 n=4