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Math Help - Number of different committees.

  1. #1
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    Number of different committees.

    Q30: A school committee of 2 teachers and 4 students. The number of
    different committees that can be formed from 5 teachers and 10
    students is:
    10
    15
    2100
    D. 8
    how?
    Last edited by mr fantastic; February 11th 2011 at 02:23 AM. Reason: Re-titled, deleted excessive ?'s in main body of post.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    There are \binom{5}{2} ways of choosing the teachers and \binom{10}{4} ways of choosing the students. The number of different committees that can be formed is \binom{5}{2}\binom{10}{4}=\ldots


    Fernando Revilla
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  3. #3
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    By the way, what is MCQ? (Incidentally they're the first three letters of my last name :P)
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    Quote Originally Posted by Prove It View Post
    By the way, what is MCQ? (Incidentally they're the first three letters of my last name :P)
    I saw it as 'multiple choice question', lucky you're not a teacher!
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  5. #5
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    Quote Originally Posted by pickslides View Post
    I saw it as 'multiple choice question', lucky you're not a teacher!
    I AM a teacher :P
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