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Math Help - Guys please solve these problems

  1. #1
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    Guys please solve these problems

    Guys please solve these problems. It's urgent

    Question 1 - In a group of athletic teams in a certain institute, 21 are in the basket ball team, 26 in the hockey team, 29 in the football team. If 14 play hockey and basketball, 12 play football and basket ball, 15 play hockey and foot ball, 8 play all the three games.

    1) How many playere there in all?
    2) How many play foot ball?


    Question 2 - State the converse and contra positive of each of the following implications

    a. If it snows today, I will stay home.
    b. We play the game if it is sunny.
    c. If a positive integer is a prime then it has no divisors other than 1 and itself
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by Moorkha View Post
    Guys please solve these problems. It's urgent

    Question 1 - In a group of athletic teams in a certain institute, 21 are in the basket ball team, 26 in the hockey team, 29 in the football team. If 14 play hockey and basketball, 12 play football and basket ball, 15 play hockey and foot ball, 8 play all the three games.

    1) How many playere there in all?
    2) How many play foot ball?
    1) Let B'=21, H'=26, and F'=26 (Basket ball, hockey, football).

    (B\cup\\H\cup\\F)'=[B'+H'+F']-[(B\cap\\H)'+(B\cap\\F)'+(H\cap\\F)']-(B\cap\\H\cap\\F)'

    2) The number of people who only play foot ball?

    F'=F'-[(F\cap\\B)'+(F\cap\\H)']+(B\cap\\H\cap\\F)'.

    Note: the prime notation represents cardinality.

    Next time show work.
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