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Math Help - Probability

  1. #1
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    Probability

    Hi, could you help me with these please, thank you

    A commitee of 4 is to be selected from 10 condidates, 6 men and 4 woman.
    * how many distinct ways can the committee be chosen?
    * Assuming that each candiadate is equally likely to be selected, determine the possibilitis that the chosen committee contains 1) no woman 2)2 men and 2 woman.

    Also A factory advertises for 4 emplyees.8 men and 5 woman aply.
    1) how many different selections of employees are possible from these applicants.
    2) How many of these selections included no men?

    Thank you!!
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  2. #2
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    Quote Originally Posted by Chez_ View Post
    Hi, could you help me with these please, thank you

    A commitee of 4 is to be selected from 10 condidates, 6 men and 4 woman.
    * how many distinct ways can the committee be chosen? Mr F says: {\color{red} {10 \choose 4}}.

    * Assuming that each candiadate is equally likely to be selected, determine the possibilitis that the chosen committee contains

    1) no woman Mr F says: The number of distinct ways such a committee can be chosen is {\color{red} {6 \choose 4} \times {4 \choose 0} = .......} Therefore the probability is ......

    2)2 men and 2 woman. Mr F says: The number of distinct ways such a committee can be chosen is {\color{red} {6 \choose 2} \times {4 \choose 2} = .......} Therefore the probability is ......

    [snip]
    ..
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