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Math Help - Combination problems

  1. #1
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    Combination problems

    A company that employees 6 managers, 15 clerical workers and 23 warehouse personnel is relocating and wants to create a committee that has representatives from each group to oversee the process. How many different ways can they select 2 managers, 4 clerical workers and 7 warehouse personnel to serve on this committee.
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  2. #2
    Eater of Worlds
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    We are choosing 2 from 6, 4 from 15, and 7 from 23. Therefore,

    C(6,2)\cdot{C(15,4)}\cdot{C(23,7)}
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  3. #3
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    Quote Originally Posted by TLC918 View Post
    A company that employees 6 managers, 15 clerical workers and 23 warehouse personnel is relocating and wants to create a committee that has representatives from each group to oversee the process. How many different ways can they select 2 managers, 4 clerical workers and 7 warehouse personnel to serve on this committee.
    {6 \choose 2} {15 \choose 4} {23 \choose 7} = .....
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  4. #4
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    Cool solve it

    m =6
    c.w =15
    w.p =23
    selected people = m =2,c.w =4,w.p =7
    6c2 x15c4 x23c7 = 6!/4! 2! x15!/11! 4! x 23!/16! 7! =501958 =502 ways. 3 s.f


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    clement okhale.
    cokhale@yahoo.com
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