Among 160 players in a tournament, 57 did not participate in any of the three games,i.e. Cricket, Hockey and Badminton. A total of 37 players participated in only one game,10 players participated in both Cricket and Hockey but not in Badminton, 9 players participated in both Hockey and Badminton but not in Cricket, and 13 players participated in both Cricket and Badminton but not in Hockey. How many students participated in all the three games
Total students participate = 160 - 57 = 103
Participant in 1 game = 37
Players participated in both Cricket and Hockey but not in Badminton = 10
Players participated in both Hockey and Badminton but not in Cricket = 9
Players participated in both Cricket and Badminton but not in Hockey = 13
Students participated in all the three games = 103 - 37 - 100 - 9 - 13 = 34
$$\therefore$$ The correct answer is option D.
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