6. Five marks exercise problems IV

1. In a school, all students play either Hockey or Cricket or both. $300$ play Hockey, $250$ play Cricket and $110$ play both games. Find

 

(i) the number of students who play only Hockey.

 

 

(ii) the number of students who play only Cricket.

 

 

(iii) the total number of students in the School.

 

 

 

2. In a party of $60$ people, $35$ had Vanilla ice cream, $30$ had Chocolate ice cream. All the people had at least one ice cream. Then how many of them had,

 

(i) both Vanilla and Chocolate ice cream.

 

 

(ii) only Vanilla ice cream.

 

 

(iii) only Chocolate ice cream.