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)