Okay, here are the steps to solve this problem:
* 16 students play football
* 12 students play table tennis
* 5 students play both football and table tennis
* So students who play football = 16
* Students who play table tennis = 12
* Students who play both = 5
* To find students who play at least one game:
16 + 12 - 5 = 23
* Total students = 31
* So students who play no game = 31 - 23 = 8
Therefore,
Number of students who play at least one game = 23
Number of students who play none of the games = 8
Does this make sense? Let me know if you have any other questions!