# In a college (2/5)th of the student play basket ball and (3/4)th play volley ball. if 50 students play none of these two games and 125 play both,use venn diagram to find the number of students in college.

$Let\;total\;number\;of\;students\;be\;x\\*number\;of\;students\;who\;play\;volleyball, V=\frac{3x}{4}\\**number\;of\;students\;who\;play\;basketball, B=\frac{2x}{5}\\*number\;of\;students\;who\;play\;both\;games, A\cap V=125\\*number\;of\;students\;who\;do\;not\;play\;any\;games=50\\* we\;know\;that\; A\cup B=A+B-(A\cap B)\\* Now, \\* \indent \Rightarrow x-B\cup V=50\\*By\;using\;folmula\;we\;can\;write\\* \indent \Rightarrow x-B-V + (B\cap V)=x-\frac{3x}{4}-\frac{2x}{5}+125=50\\* we\;get,\;x=500\\* Hnece,\;total\;number\;of\;students\;in\;college\;is\;500.$

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Boost your Preparation for JEE Main with our Foundation Course

Exams
Articles
Questions