There are 67 people, right?
Let x be the number of those who don't participate in any game.
7 are those who participate in 2 different games, and
1 participates both 3 games
So, the number of people that are seen as a whole (all players of all the 3 games) is:
those who participate in 1 game
+ those who participate in 2 games * 2
+ those who participate in 3 games * 3
=
[67-(7+1+x)]
+ 7*2
+ 3*1
which equals with the sum of 20+30+25.
So:
[67-(7+1+x)] + 2*7 + 1*3 = 20+30+25
x = 1