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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.

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Let;total;number;of;students;be;x\*number;of;students;who;play;volleyball, V=frac3x4\**number;of;students;who;play;basketball, B=frac2x5\*number;of;students;who;play;both;games, Acap V=125\*number;of;students;who;do;not;play;any;games=50\* we;know;that; Acup B=A+B-(Acap B)\* Now, \* indent Rightarrow x-Bcup V=50\*By;using;folmula;we;can;write\* indent Rightarrow x-B-V + (Bcap V)=x-frac3x4-frac2x5+125=50\* we;get,;x=500\* Hnece,;total;number;of;students;in;college;is;500.

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Deependra Verma

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