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Probability Question

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  • 19-12-2011 7:28pm
    #1
    manutd
    Registered Users Posts: 988 ✭✭✭


    At an meeting attended by 8 men and 7 women.

    1) How many different committees combinations could be picked from the above.

    2) On how many of the above would there be an equal number of both women and men.

    3) There must be more women than men on the committee, How many could be formed.

    Thanks,
    manutd


Comments

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    #2
    Pherekydes
    Registered Users Posts: 16,126 ✭✭✭✭Pherekydes


    How many are required on the committee?


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    #3
    manutd
    Registered Users Posts: 988 ✭✭✭manutd


    Pherekydes wrote: »
    How many are required on the committee?

    Sorry, 6 on the committe.

    Thanks,
    manutd


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    #4
    Pherekydes
    Registered Users Posts: 16,126 ✭✭✭✭Pherekydes


    The answer to the first part is 15 choose 6. I'm assuming you know what this means and how to calculate it?

    Try to give a solution to the other parts and someone here will tell you if you are going in the right direction.


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    #5
    manutd
    Registered Users Posts: 988 ✭✭✭manutd


    Pherekydes wrote: »
    The answer to the first part is 15 choose 6. I'm assuming you know what this means and how to calculate it?

    Try to give a solution to the other parts and someone here will tell you if you are going in the right direction.

    How do you get 15, i don't know how to get it.

    MMMMMM
    MMMMMF
    MMMMFF
    MMMFFF
    MMFFFF
    MFFFFF
    FFFFFF

    That is all i know.

    You need to know the part 1 to do the rest of it.


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    #6
    Pherekydes
    Registered Users Posts: 16,126 ✭✭✭✭Pherekydes


    15 choose 6 means you have to choose 6 items, in this case people, from 15 items (8+7).

    You should recognise this formula from your notes:

    1928f752016eeb2c94f27269a14f7f47.png

    You can apply this to the other parts, too.

    The left hand side of that equation means "n choose k"


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    #7
    manutd
    Registered Users Posts: 988 ✭✭✭manutd


    Pherekydes wrote: »
    15 choose 6 means you have to choose 6 items, in this case people, from 15 items (8+7).

    You should recognise this formula from your notes:

    1928f752016eeb2c94f27269a14f7f47.png

    You can apply this to the other parts, too.

    The left hand side of that equation means "n choose k"

    what formula is this. Sorry, i can't find it. Is it the Permutations/ Combinations formula.


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    #8
    eoins23456
    Registered Users Posts: 603 ✭✭✭eoins23456


    its a combinations formula where k is the amount of objects ur choosing from n objects ie choosing 6 people from 15


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    #9
    henbane
    Registered Users Posts: 1,636 ✭✭✭henbane


    manutd wrote: »
    what formula is this. Sorry, i can't find it. Is it the Permutations/ Combinations formula.
    http://www.mathwords.com/b/binomial_coefficients.htm might help but I'm guessing the whole point is to understand combinations rather than plug in to a formula if you're not familiar with it. What are you studying?


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