In a class of 31 student,16 play football,12play table tennis and 5 play both games,find the number of student who play none of the game

To find the number of students who play none of the games, we need to subtract the total number of students who play at least one game from the total number of students in the class.

Total number of students = 31
Number of students who play football = 16
Number of students who play table tennis = 12
Number of students who play both games = 5

Total number of students who play at least one game = 16 + 12 - 5 = 23

Number of students who play none of the games = 31 - 23 = 8

Therefore, 8 students play neither football nor table tennis.