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IN A GROUP OF ATHELETIC TEAMS IN A SCHOOL. 21 ARE IN BASKETBALL TEAM , 26 ARE IN THE HOCKEY TEAM AND 29 IN FOOTBALL TEAM. IF 4 PLAY HOCKEY AND BASKETBALL AND 12 PLAY FOOTBALL AND BASKETBALL AND 15 PLAY HOCKEY AND FOOTBALL AND 8 PLAY ALL THE GAMES.FIND
HOW MANY PLAY FOOTBALL ONLY.

Asked by dalbirgolagarh 2nd July 2016, 3:48 PM
Answered by Expert
Answer:
Let space straight F comma space straight B comma space and space straight H space denotes space the space number space of space athletes space who space play space football comma space basketball space and space hockey space respectively

straight n open parentheses straight F intersection straight B close parentheses space denotes space bold space bold the bold space bold number bold space bold of bold space bold athletes bold space bold who bold space bold play bold space bold football bold space bold and bold space bold space bold basketball bold space bold both bold.
bold n open parentheses bold F bold intersection bold H close parentheses bold space bold denotes bold space bold space bold the bold space bold number bold space bold of bold space bold athletes bold space bold who bold space bold play bold space bold football bold space bold and bold space bold space bold hocky bold space bold both bold.
straight n open parentheses straight H intersection straight B close parentheses space denotes space bold space bold the bold space bold number bold space bold of bold space bold athletes bold space bold who bold space bold play bold space bold hocky bold space bold and bold space bold space bold basketball bold space bold both bold.
straight n open parentheses straight F intersection straight B intersection straight H close parentheses space denotes space bold space bold the bold space bold number bold space bold of bold space bold athletes bold space bold who bold space bold play bold space bold all bold space bold the bold space bold games bold space bold space bold football bold space bold comma bold space bold space bold basketball bold space bold and bold space bold hocky bold.

We space need space to space find space the space number space of space athletes space who space play space only space football.
space equals space straight n left parenthesis straight F right parenthesis space minus space straight n left parenthesis straight F intersection straight B right parenthesis minus space straight n left parenthesis straight F intersection straight H right parenthesis space plus space straight n left parenthesis straight F intersection straight H intersection straight B right parenthesis
equals 29 space minus space 12 space minus space 15 space plus space 8 space
equals space 10

10 space Atheletes space play space only space football. space
 
Answered by Expert 4th July 2016, 11:12 AM
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