20. Five mark exercise problem VIII

Each student in a class of \(35\) plays atleast one game among chess, carrom and table tennis. \(22\) play chess, \(21\) play carrom, \(15\) play table tennis, \(10\) play chess and table tennis, \(8\) play carrom and table tennis and \(6\) play all the three games. Then, the number of students who play

 

(i) Chess and carrom but not table tennis \(=\)

 

(ii) Only Chess \(=\)

 

(iii) Only carrom \(=\)

 

(Hint: Use Venn diagram)