In a class there are:
8 students who play football and hockey
7 students who do not play football or hockey
13 students who play hockey
19 students who play football
How many students are there in the class?
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Hockey --------------> 13
Football ------------> 19
Both ------------------> 8
None -----------------> 7
Number of students playing at least 1 game is = 13+19-8
That is 24.
Thus, total students = students playing at least 1 game + students not playing any game
=24+7 = 31