10. Five mark example problems III

In a college, $240$ students play cricket, $180$ students play football, $164$ students play Hockey, $42$ play both cricket and football, $38$ play both football and hockey, $40$ play both cricket and hockey and $16$ play all the three games. If each student participate in at least one game, then

 

(i) The number of students in the college $=$

 

(ii) The number of students who play only one game $=$