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 \(=\)