out of 50boys in college ,10 play all the three games and 22 play two games. Equal number of players play only one game . 9 play cricket and hockey. 5 play hockey and volleyball . the total number of players who play cricket is
Answers
Total number of cricket player = 33
Given:
- 10 play all the three games.
- 22 play two games.
- Equal number of players play only one game.
- 9 play cricket and hockey.
- 5 play hockey and volleyball.
Find:
Total number of players who play cricket is.
Explanation:
No. of player to play all game is 10
22 player play 2 games.
No. of player play cricket and volleyball = 22- (no. of player play cricket and hockey + No. of player play hockey and volleyball)
= 22 - (9+5)
= 8
Remaining player to play only single game = Total(50) - 10-22
= 18
All are in equal number. Hence only cricket player are = 18/3
= 6
Total number of cricket player = (All three game player)+(No. of player play hockey and cricket)+(No. of player play cricket and volleyball)+(No. of player play only cricket)
= 10+9+8+6
= 33
Total number of cricket player = 33.
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